Multiple choice

A is as much younger than B as he is older than C. If the sum of the age of B and C is 52 years, then find the present age of A?

  1. 16

  2. 46

  3. 68

  4. 27

  5. None of these

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

Let B - A = d (A is younger than B by d years) and A - C = d (A is older than C by d years). From these: B = A + d and C = A - d. Given B + C = 52, substituting: (A + d) + (A - d) = 52, so 2A = 52, A = 26. Wait, that's not an option. Let me verify: B - A = A - C means B + C = 2A. Given B + C = 52, we get 2A = 52, A = 26. But 26 is not among options A-D (16, 46, 68, 27), so 'None of these' (E) is correct.