Question

A says to B, “I was four times as old as you were when I was as old as you are." If the sum of their present ages is 33, then the present ages of A and B respectively are:

• A. 18 years, 15 years
• B. 21 years, 12 years
• C. 24 years, 9 years
• D. 27 years, 6 years

Answer 1

The correct option is B

21 years, 12 years

Let ages of A & B are A & B respectively.

then $A-(A-B)=4(B-A+B)$

$\Rightarrow A=\frac{7B}{4}$

$B+\frac{7B}{4}=33\Rightarrow B=12$

So, $A=21$