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irina1246 [14]
2 years ago
8

Un padre tiene actualmente cuatro veces la edad de su hijo. Cuando pasen 5 años, su edad será solo tres veces superior. ¿Qué eda

d tiene cada uno?
Mathematics
1 answer:
julsineya [31]2 years ago
4 0

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

  • Sea la edad del padre P.
  • Sea la edad del hijo h.

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

<em>h = 10 años </em>

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

<em>P = 40 años</em>

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