Multiple choice general knowledge math & puzzles

5 years ago Raj was 5 times as old as his Son. 5 years later, his age will be 8 less than three times the corresponding age of his Son. Find their ages.

  1. 35 & 11

  2. 32 & 7

  3. 36 & 12

  4. 35& 12
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A Correct answer
Explanation

Let Raj's age = R, Son's age = S. 5 years ago: R-5 = 5(S-5) → R = 5S - 20. 5 years later: R+5 = 3(S+5) - 8 → R = 3S + 2. Equating: 5S - 20 = 3S + 2 → 2S = 22 → S = 11. Then R = 5(11) - 20 = 35. Checking: 5 years ago Raj was 30, Son was 6, and 30 = 5×6. 5 years later Raj will be 40, Son will be 16, and 40 = 3×16 - 8.

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