Multiple choice

The difference between the age of the father and the age of the son is 21 years. What is the present age of the son? Statement I: After five years, the ratio of the father's age to the son's age will be 5:2. Statement II: After five years, the sum of father's age and son's age will be 66 years.

  1. Both the statements I and II together are sufficient.

  2. Only statement I is sufficient.

  3. Only statement II is sufficient.

  4. Either statement I or statement II alone is sufficient.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given F-S=21. Statement I: (F+5):(S+5)=5:2 → 5x-2x=21 → x=7 → S=9. Statement II: (F+5)+(S+5)=66 → F+S=56. With F-S=21, solving gives 2S=35 → S=17.5. Each statement alone gives a unique answer. Option D is correct.