A is three years younger than B, who is twice as old as C. If the sum of their ages be 52 years, then what will be the age of B (in years) two years hence?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 24
Write all three ages in terms of B’s age \(x\) and use their sum.
B \(=x\), A \(=x-3\) (three years younger), C \(=\displaystyle\frac{x}{2}\) (B is twice as old as C)
\(x-3+x+\displaystyle\frac{x}{2}=52\)
\(\displaystyle\frac{5x}{2}=55\), so \(x=22\)
B’s age two years hence: \(22+2=24\) years