The sum of the present ages of A, B and C is 150 years. Ten years ago, the ratio of their ages was 3 : 2 : 1. What is the present age of B?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 50 years
Ten years ago each of the three was 10 years younger, so the sum then was 30 years less. That sum is shared in the ratio 3 : 2 : 1.
Sum ten years ago \(=150-3\times10=120\) years
B ten years ago \(\displaystyle =\frac{2}{6}\times120=40\) years
B now \(=40+10=50\) years