Multiple choice

Devendra is older by 4 years to Rajendra. After 16 years Devendra will be thrice his present age and Rajendra will be five times of his present age. How old would Rajendra be after 16 years?

  1. 30 years

  2. 25 years

  3. 24 years

  4. Cannot determined

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

Let Devendra's present age = D, Rajendra's present age = R. Given: D = R + 4. After 16 years: D + 16 = 3D, and R + 16 = 5R. From D + 16 = 3D, we get D = 8. From R + 16 = 5R, we get R = 4. But D = R + 4 gives 8 = 4 + 4, which is consistent. So Rajendra after 16 years = 4 + 16 = 20. But 20 is not among options! This means the problem has inconsistent conditions - you can't satisfy both 'thrice present age' and 'five times present age' with the same values. Hence 'Cannot be determined'.