Question

The sum of the ages of $X$ and $Y$ $12$ years ago was $48$ years and the sum of the ages of $X$ and $Y$ $12$ years hence will be _____ years.

• A. $60$
• B. $72$
• C. $84$
• D. $96$

Answer 1

Answer: (D)

$96$

Let present ages of $X$ and $Y$ be $a$ and $b$
So, $12$ years ago, their ages were $a-12$ and $b-12$
And $12$ years later, their ages will be $a+12$ and $b+12$
Given, $a-12+b-12=48$
$=>a+b=72$
And Sum of their ages $12$ years later will be $a+12+b+12=72+12+12=96$ years