Question

Fifteen years hence a man will be just four times as old as he was $15$ years ago. What is his present age?

• A. $50$ years
• B. $20$ years
• C. $12$ years
• D. $25$ years

Answer 1

The correct option is D $25$ years

Let the man's present age $=x$ years
Fifteen years ago his age $=(x-15)$ years
Fifteen years hence his age $=(x+15)$ years
Given, $(x+15)=4(x-15)$

$\Rightarrow x+15=4x-60$
$\Rightarrow 4x-x=15+60$

$\Rightarrow 3x=75$
$\Rightarrow x=25$
$\therefore$ man's present age is $25$ years.