:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.102900:0.086030:0.327379:0.086030:0.327379:0.059898:0.102900:0.059898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.764677:0.075017:0.808321:0.075017:0.808321:0.054766:0.764677:0.054766:0.000000:0.000000:0.000000
Participación:@0.734248:0.089476:0.838751:0.089476:0.838751:0.072575:0.734248:0.072575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Textos y lecturas:@0.354584:0.073446:0.486008:0.073446:0.486008:0.056546:0.354584:0.056546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desde la Internet:@0.353202:0.088535:0.487408:0.088535:0.487408:0.071635:0.353202:0.071635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fuente: Perero, M. (s.f.). Historia e Historias de Matemáticas. Grupo Editorial Iberoamérica:@0.378164:0.917612:0.903611:0.917612:0.903611:0.904203:0.378164:0.904203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los problemas, las adivinanzas y las recreaciones matemáticas han formado parte de todas las :@0.141471:0.226928:0.836531:0.226928:0.836531:0.210539:0.141471:0.210539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
culturas en todas las épocas. Los más antiguos son, probablemente, los que aparecieron en los :@0.141471:0.243524:0.836431:0.243524:0.836431:0.227135:0.141471:0.227135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
papiros egipcios y en las tablillas mesopotámicas varios siglos antes de nuestra era. Lo curioso :@0.141471:0.260120:0.836507:0.260120:0.836507:0.243732:0.141471:0.243732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es que muchos de esos problemas siguen interesando a nuestros estudiantes del siglo XXI.:@0.141471:0.276717:0.805283:0.276717:0.805283:0.260328:0.141471:0.260328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Alcuino de York (735 -840), considerado uno de los hombres más sabios de su tiempo, fue el :@0.141471:0.300436:0.836505:0.300436:0.836505:0.284047:0.141471:0.284047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asesor cultural del emperador Carlomagno. Su obra principal es una colección titulada :@0.141471:0.317032:0.774772:0.317032:0.774772:0.300643:0.141471:0.300643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para de-:@0.774588:0.317032:0.832342:0.317032:0.832342:0.300671:0.774588:0.300671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sarrollar el ingenio de los jóvenes:@0.141471:0.333629:0.368238:0.333629:0.368238:0.317267:0.141471:0.317267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Estos son algunos problemas que constan en esa colección::@0.368238:0.333629:0.813686:0.333629:0.813686:0.317240:0.368238:0.317240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas de la Edad Media:@0.072616:0.143066:0.439684:0.143066:0.439684:0.115410:0.072616:0.115410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.072616:0.408692:0.078383:0.408692:0.078383:0.391791:0.072616:0.391791:0.000000
 :@0.078383:0.408692:0.082419:0.408692:0.082419:0.392303:0.078383:0.392303:0.000000
Un hombre, cuya esposa está por dar a luz, muere dejando en su testamento las siguientes instrucciones: :@0.101108:0.408692:0.907611:0.408692:0.907611:0.392303:0.101108:0.392303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si nace un varón, este heredará 2/3 de la herencia y la madre 1/3 restante; si nace una hija, esta heredará 1/3 :@0.101105:0.425288:0.907793:0.425288:0.907793:0.408899:0.101105:0.408899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la viuda 2/3 de la herencia. Nacen mellizos de sexo distinto, ¿cómo debe repartirse la herencia?:@0.101105:0.441885:0.806139:0.441885:0.806139:0.425496:0.101105:0.425496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución::@0.101105:0.465604:0.171646:0.465604:0.171646:0.448980:0.101105:0.448980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 hay varias interpretaciones posibles. La intención del padre era que la madre recibiera dos veces más :@0.171646:0.465604:0.907642:0.465604:0.907642:0.449215:0.171646:0.449215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la hija y el hijo dos veces más que la madre; por lo tanto, hay que dividir la herencia en 7 partes iguales: :@0.101105:0.482200:0.907496:0.482200:0.907496:0.465811:0.101105:0.465811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 para la madre, 4 para el hijo y 1 para la hija.:@0.101105:0.498796:0.426424:0.498796:0.426424:0.482408:0.101105:0.482408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072616:0.522515:0.076651:0.522515:0.076651:0.506127:0.072616:0.506127:0.000000
Otra interpretación: con la solución anterior, la madre solo recibiría 2/7 de la herencia, no 1/3 como indicaba :@0.101108:0.522515:0.907795:0.522515:0.907795:0.506127:0.101108:0.506127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el testamento; la solución sería dar 1/3 a la madre y dividir el resto en dos partes proporcionales a 1 y 4. En ese :@0.101105:0.539112:0.907717:0.539112:0.907717:0.522723:0.101105:0.522723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso, se divide la herencia en 15 partes iguales: 5 para la madre, 8 para el hijo y 2 para la hija.:@0.101105:0.555708:0.772879:0.555708:0.772879:0.539319:0.101105:0.539319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072616:0.579427:0.076651:0.579427:0.076651:0.563038:0.072616:0.563038:0.000000
Veamos otro problema de interés hasta nuestros días.:@0.101108:0.579427:0.492172:0.579427:0.492172:0.563038:0.101108:0.563038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.072616:0.603146:0.082198:0.603146:0.082198:0.586246:0.072616:0.586246:0.000000:0.000000
  Se reparten 100 kilos de trigo entre 100 personas. Los hombres reciben 3 kilos cada uno, las mujeres 2 y los :@0.082198:0.603146:0.907679:0.603146:0.907679:0.586757:0.082198:0.586757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
niños medio kilo. ¿Cuántos hombres, mujeres y niños había?:@0.101105:0.619743:0.541538:0.619743:0.541538:0.603354:0.101105:0.603354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución::@0.101105:0.643462:0.171646:0.643462:0.171646:0.626837:0.101105:0.626837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 siendo  ,  ,  , el número de hombres, mujeres y niños respectivamente, se tiene: :@0.171646:0.643462:0.777218:0.643462:0.777218:0.627073:0.171646:0.627073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.230375:0.643462:0.268151:0.643462:0.268151:0.627100:0.230375:0.627100:0.000000:0.000000:0.000000:0.000000:0.000000
3  + 2  + ½   = 100  :@0.101105:0.660058:0.254386:0.660058:0.254386:0.643669:0.101105:0.643669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.110282:0.660058:0.117745:0.660058:0.117745:0.643697:0.110282:0.643697:0.000000
y:@0.146713:0.660058:0.154195:0.660058:0.154195:0.643697:0.146713:0.643697:0.000000
z:@0.191566:0.660058:0.198808:0.660058:0.198808:0.643697:0.191566:0.643697:0.000000
→:@0.254570:0.659643:0.272758:0.659643:0.272758:0.642701:0.254570:0.642701:0.000000
    +   +   = 100 de donde se deduce que 5  + 3  = 100, es decir que   debe ser :@0.272942:0.660058:0.871269:0.660058:0.871269:0.643669:0.272942:0.643669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.281382:0.660058:0.288846:0.660058:0.288846:0.643697:0.281382:0.643697:0.000000
y:@0.308637:0.660058:0.316118:0.660058:0.316118:0.643697:0.308637:0.643697:0.000000
z:@0.335910:0.660058:0.343152:0.660058:0.343152:0.643697:0.335910:0.643697:0.000000
x:@0.596366:0.660058:0.603829:0.660058:0.603829:0.643697:0.596366:0.643697:0.000000
y:@0.632797:0.660058:0.640279:0.660058:0.640279:0.643697:0.632797:0.643697:0.000000
y:@0.790704:0.660058:0.798185:0.660058:0.798185:0.643697:0.790704:0.643697:0.000000
múltiplo de 5. :@0.101123:0.676654:0.206142:0.676654:0.206142:0.660265:0.101123:0.660265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072634:0.700373:0.076670:0.700373:0.076670:0.683984:0.072634:0.683984:0.000000
Si ponemos   = 5n, tendremos:   = 20 – 3 ;    = 80 – 2:@0.101127:0.700373:0.494537:0.700373:0.494537:0.683984:0.101127:0.683984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.192159:0.700373:0.199641:0.700373:0.199641:0.684012:0.192159:0.684012:0.000000
x:@0.332410:0.700373:0.339873:0.700373:0.339873:0.684012:0.332410:0.684012:0.000000
n z:@0.403191:0.700373:0.431219:0.700373:0.431219:0.684012:0.403191:0.684012:0.000000:0.000000:0.000000
n:@0.494537:0.700373:0.504045:0.700373:0.504045:0.684012:0.494537:0.684012:0.000000
 :@0.072634:0.724092:0.076670:0.724092:0.076670:0.707703:0.072634:0.707703:0.000000
Los posibles valores de n son entonces: 0, 1, 2, 3, 4, 5, 6:@0.101127:0.724092:0.499140:0.724092:0.499140:0.707703:0.101127:0.707703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072634:0.747811:0.076670:0.747811:0.076670:0.731422:0.072634:0.731422:0.000000
La solución que da Alcuino es para   = 3; es decir: :@0.101127:0.747811:0.468277:0.747811:0.468277:0.731422:0.101127:0.731422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.359593:0.747811:0.369102:0.747811:0.369102:0.731450:0.359593:0.731450:0.000000
11 hombres, 15 mujeres y 74 niños. :@0.101123:0.764408:0.362516:0.764408:0.362516:0.748019:0.101123:0.748019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072634:0.788127:0.076670:0.788127:0.076670:0.771738:0.072634:0.771738:0.000000
Otras soluciones son::@0.101127:0.788127:0.255993:0.788127:0.255993:0.771738:0.101127:0.771738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.123840:0.816944:0.133422:0.816944:0.133422:0.801580:0.123840:0.801580:0.000000
0:@0.178352:0.816944:0.187331:0.816944:0.187331:0.801580:0.178352:0.801580:0.000000
1:@0.232563:0.816944:0.241542:0.816944:0.241542:0.801580:0.232563:0.801580:0.000000
2:@0.286773:0.816944:0.295753:0.816944:0.295753:0.801580:0.286773:0.801580:0.000000
3:@0.340984:0.816944:0.349963:0.816944:0.349963:0.801580:0.340984:0.801580:0.000000
4:@0.395195:0.816944:0.404174:0.816944:0.404174:0.801580:0.395195:0.801580:0.000000
5:@0.449406:0.816944:0.458385:0.816944:0.458385:0.801580:0.449406:0.801580:0.000000
6:@0.503616:0.816944:0.512596:0.816944:0.512596:0.801580:0.503616:0.801580:0.000000
x:@0.124694:0.838331:0.132601:0.838331:0.132601:0.822966:0.124694:0.822966:0.000000
20:@0.174683:0.838331:0.191033:0.838331:0.191033:0.823432:0.174683:0.823432:0.000000:0.000000
17:@0.228894:0.838331:0.245244:0.838331:0.245244:0.823432:0.228894:0.823432:0.000000:0.000000
14:@0.283105:0.838331:0.299455:0.838331:0.299455:0.823432:0.283105:0.823432:0.000000:0.000000
11:@0.337315:0.838331:0.353666:0.838331:0.353666:0.823432:0.337315:0.823432:0.000000:0.000000
8:@0.395614:0.838331:0.403789:0.838331:0.403789:0.823432:0.395614:0.823432:0.000000
5:@0.449824:0.838331:0.458000:0.838331:0.458000:0.823432:0.449824:0.823432:0.000000
2:@0.504035:0.838331:0.512210:0.838331:0.512210:0.823432:0.504035:0.823432:0.000000
y:@0.124711:0.859717:0.132618:0.859717:0.132618:0.844353:0.124711:0.844353:0.000000
0:@0.178787:0.859717:0.186963:0.859717:0.186963:0.844818:0.178787:0.844818:0.000000
5:@0.232998:0.859717:0.241173:0.859717:0.241173:0.844818:0.232998:0.844818:0.000000
10:@0.283121:0.859717:0.299472:0.859717:0.299472:0.844818:0.283121:0.844818:0.000000:0.000000
15:@0.337332:0.859717:0.353682:0.859717:0.353682:0.844818:0.337332:0.844818:0.000000:0.000000
20:@0.391543:0.859717:0.407893:0.859717:0.407893:0.844818:0.391543:0.844818:0.000000:0.000000
25:@0.445754:0.859717:0.462104:0.859717:0.462104:0.844818:0.445754:0.844818:0.000000:0.000000
30:@0.499964:0.859717:0.516315:0.859717:0.516315:0.844818:0.499964:0.844818:0.000000:0.000000
z:@0.125046:0.881104:0.132316:0.881104:0.132316:0.865740:0.125046:0.865740:0.000000
80:@0.174717:0.881104:0.191067:0.881104:0.191067:0.866205:0.174717:0.866205:0.000000:0.000000
78:@0.228927:0.881104:0.245278:0.881104:0.245278:0.866205:0.228927:0.866205:0.000000:0.000000
76:@0.283138:0.881104:0.299488:0.881104:0.299488:0.866205:0.283138:0.866205:0.000000:0.000000
74:@0.337349:0.881104:0.353699:0.881104:0.353699:0.866205:0.337349:0.866205:0.000000:0.000000
72:@0.391560:0.881104:0.407910:0.881104:0.407910:0.866205:0.391560:0.866205:0.000000:0.000000
70:@0.445770:0.881104:0.462121:0.881104:0.462121:0.866205:0.445770:0.866205:0.000000:0.000000
68:@0.499981:0.881104:0.516331:0.881104:0.516331:0.866205:0.499981:0.866205:0.000000:0.000000
©Shutterstock:@0.932270:0.802998:0.932270:0.760172:0.920359:0.760172:0.920359:0.802998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000