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Valentin [98]
3 years ago
13

. Ana tiene el triple de edad que su hijo Jaime. Dentro de 15 años, la edad de Ana será el doble que la de su hijo. ¿Cuántos año

s más que Jaime tiene su madre?
Mathematics
1 answer:
poizon [28]3 years ago
3 0

Answer:

La madre de Jaime tiene 30 años más que él.

Step-by-step explanation:

Llamemos x a la edad actual de Jaime, si la edad actual de Ana es el triple que la de Jaime, entonces la edad actual de Ana es 3x.

Dentro de 15 años, la edad de Jaime será x+15 (edad actual más 15 años) y usando el mismo razonamiento, la edad de Ana será 3x + 15.

Por otro lado el problema nos dice que dentro de 15 años, la edad de Ana (que ya sabemos que será 3x + 15) será igual al doble de la que tendrá su hijo en 15 años. Esto en forma de ecuación se representa:

3x+15=2(x+15) (la edad de Ana será igual que el doble de la de su hijo)

Resolviendo la ecuación:

3x+15= 2(x+15)\\3x+15=2x+30\\3x-2x=30-15\\x=15

Por lo tanto, Jaime tiene 15 años y su madre tiene 3x=3(15)=45 años. Por lo tanto la diferencia de edad es de 30 años y Ana tiene 30 años más que su Jaime.

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