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Margarita [4]
3 years ago
5

Las edades de Luisa y Maria suman 20 años. Dentro de 15 años, la edad de Maria será dos tercios de la de Luisa. ¿Cuales son sus

edades?
Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

La edad de Luisa es 15  años

La edad de María es 5 años

Step-by-step explanation:

que la edad de María sea x

ii) deja que la edad de Luisa sea

iii) Se da que x + y = 20.

iv) después de 15 años, la edad de María será 2/3 de la de Luisa.

Por lo tanto, podemos decir que x + 15 = 2/3 (y + 15)

Por lo tanto, 3x + 45 = 2y + 30

Por lo tanto 2y - 3x = 15

v) Si multiplicamos la ecuación en iii) por 3 obtenemos 3x + 3y = 60

vi) si sumamos la ecuación en v) a la ecuación en iv) obtenemos 5y = 75.

vii) Por lo tanto, la edad de Luisa = 15  años

viii) sustituyendo la edad de Luisa en la ecuación de iii) obtenemos x = 20 - 15 = 5.

ix) Por lo tanto, la edad de María es 5 años

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