Question

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.

Answer 1

Let Aman's son age be $x$ years
and, Aman present age $=3x$
$10$ yrs ago: Aman's son age $=(x-10)$
Aman age$=(3x-10)$

According to the question, we have
Aman age $10$ years ago $=5\times$ his son's age at that time

$\therefore (3x-10)=5\times (x-10)$

$\Rightarrow (3x-10)=5x-50$

$\Rightarrow 5x-3x=50-10$

$\Rightarrow 2x=40$

$\Rightarrow x=20$

so, Aman's present age $=3\times 20=60$ years and his son's present age $=20$ years.