Question

Ratan's age after $15$ years will be $5$ times his age $5$ years back. What is Ratan's present age?

• A. $15$ years
• B. $5$ years
• C. $10$ years
• D. $50$ years

Answer 1

The correct option is C $10$ years

Let Ratan's present age be $x$ years.

Then, Ratan's age after 15 years $=(x+15)$ years.
Ratan's age of 5 years back $=(x-5)$ years.
Given, $(x+15)=5(x-5)$
$\Rightarrow x+15=5x-25$
$\Rightarrow 5x-x=15+25$
$\Rightarrow 4x=40$

$\Rightarrow x=10$
$\therefore$ Ratan's present age is $10$ years.