Q48
ArithmeticAverages & Ages
The sum of present ages of a father and his son is 36 years. When the son reaches father's present age, the sum of their ages will be 80 years. What is the present age of the son?
- a.4 years
- b.7 years
- c.9 years
- d.12 years
Answer: (B) 7 years
The son reaches the father's present age after (F − S) years, when both have aged by that amount: 36 + 2(F − S) = 80, so F − S = 22. With F + S = 36, the son is (36 − 22) ÷ 2 = 7 years old. The other ages do not give a 22-year gap.