Multiple choice

Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of A, B, C and D is?

  1. 35 years

  2. 40 years

  3. 42 years

  4. Data inadequate

  5. None of these

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

Average of A and B = 24, so A + B = 48. Average of B, C, D = 22, so B + C + D = 66. We need A + B + C + D. Adding the two equations: (A + B) + (B + C + D) = 48 + 66 = 114. This gives A + 2B + C + D = 114. But we need A + B + C + D. Without knowing B's individual value, we cannot determine A + B + C + D uniquely. Different values of B would give different sums. Therefore the data is inadequate.