Question

$A$ is $20$ years older than $B.5$ years ago, $A$ was $3$ times as old as $B$. Find their present ages.

• A. $50$ years and $30$ years
• B. $55$ years and $35$ years
• C. $60$ years and $40$ years
• D. $35$ years and $15$ years

Answer 1

The correct option is D $35$ years and $15$ years

Let the present ages of $A$ and $B$ be $x$ and $y$ respectively.

Presently, $x=y+20$ ...(1)

$5$ years ago, $(x-5)=3(y-5)$ ...(2)

From (1) and (2), we get

$(y+15)=3y-15$

$\Rightarrow y=15$ years

$\Rightarrow x=35$ years

Hence, option D is the correct answer.