Question

La edad de Julián es el doble de la de pedro , y la de pedro el doble de la de Matías, si la suma de sus edades es de 56 ¿Cuál es la edad de pedro?

ayuda xfa

Answer 1

Given:

La edad de Julián es el doble de la de pedro , y la de pedro el doble de la de Matías, si la suma de sus edades es de 56 ¿Cuál es la edad de pedro?

Julian's age is twice that of Pedro, and Pedro's twice that of Matías, if the sum of their ages is 56. What is Pedro's age?

To find:

Pedro's age

Solution:

Let's say,

"J" → Julian's age

"P" → Pedro's age

"M" → Matias's age

Julian's age is twice that of Pedro, so we can form the equation as,

J = 2 P . . . (1)

Pedro's twice that of Matías, so we can form the equation as,

P = 2 M

⇒ M = $\frac{P}{2}$ . . . (2)

The sum of their ages is 56, so we can form the equation as,

J + P + M = 56

on substituting from (1) and (2), we get

⇒ $2P + P + \frac{P}{2} = 56$

⇒ $\frac{4P + 2P + P}{2} = 56$

⇒ $\frac{7P}{2} = 56$

⇒ $P = \frac{56 \times 2}{7}$

⇒ $P =8 \times 2$

⇒ $\bold{P =16}$

Thus, Pedro's age is → 16 years.

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