# Aman's age is three times his son's age. Ten years ago he was five times his son's age. Find their present ages.

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Given :

Aman's age is three times his son's age.

10 years ago he was five times his son's age.

To do :

We have to find their present ages.

Solution :

Let the present age of his son be $x$.

This implies, that Aman's present age $=3x$.

10 years ago, the age of Aman is 5 times the age of his son.

The age of his son 10 years ago $= x-10$

The age of Aman 10 years ago $= 3x-10$

Therefore,

$3x-10=5(x-10)$

$3x-10=5x-50$

$5x-3x = 50-10$

$2x = 40$

$x = \frac{40}{2}$

$x = 20$

$3 x = 3 \times 20 = 60$

The present age of Aman is 60 years and the present age of his son is 20 years.

Updated on 10-Oct-2022 13:47:38