Question

The age of Arjun is twice the sum of the ages of his two children. After $20$ years, his age will be equal to the sum of the ages of his children. find the age of the father.

Answer 1

Let age of arjun be $x$ and his sons be $y$ and $z$

Given, $x=2(y+z)$ and $x+20=y+20+z+20$

$\Rightarrow x+20=\left(\frac{x}{2}\right)+40\Rightarrow \frac{x}{2}=20\Rightarrow x=40years$