Question

Fifteen years later, a man will be two times as old as he was $15$ years ago. How old is he now?

• A. $30$ years
• B. $45$ years
• C. $60$ years
• D. $42$ years

Answer 1

The correct option is B $45$ years

Let the present age of the man be $x$ years.
Age of the man $15$ years ago $=(x-15)$ years and
Age of the man $15$ years later $=(x+15)$ years
According to the given condition, we have
$(x+15)=2(x-15)$
$\Rightarrow x+15=2x-30$

$\Rightarrow x-2x=-30-15$

$\Rightarrow -x=-45$ or $x=45$ years
Hence, the present age of the man is $45$ years.