Question

Rashni is 25 years older than her son Ankit. 20 years ago, Rashni was six times as old as Ankit. Find the present age of Ankit.

• A. 20
• B. 35
• C. 25
• D. 40

Answer 1

The correct option is C 25

Let the present age of Rashni be $x$ years.
Hence, the present age of Ankit is $(x-25)$ years.

Twenty years ago their age was $(x-20)$ and $(x-25-20)$ respectively.

According to the given data,
$x-20=6(x-25-20)$ [Rashni was six times as old as Ankit]
$\Rightarrow x-20=6x-(6\times 45)\Rightarrow x-20=6x-270\Rightarrow x-6x=20-270\Rightarrow -5x=-250\Rightarrow x=\frac{-250}{-5}\Rightarrow x=50$

Therefore, the present age of Rashni is 50 and the present age of Ankit is $x-25=50-25=25$.