Question

$X$ is $36$ years old and $Y$ is $16$ years old. In how many years will $X$ be twice as old as $Y$?

• A. $1$ year
• B. $2$ years
• C. $3$ years
• D. $4$ years

Answer 1

Answer: (D)

$4$ years

Let $X$ be twice as old as $Y$ after $x$ years

Then after $x$ years
$X$'s age $=(36+x)$ yrs and $Y$'s age $=(16+x)$ yrs
Given $36+x=2(16+x)$
$\Rightarrow$ $36+x=32+2x$

$\Rightarrow x=4$ years