Multiple choice general knowledge math & puzzles

The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

  1. 8, 20, 28

  2. 16, 28, 36

  3. 20, 35, 45

  4. None of these
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B Correct answer
Explanation

Let ages be 4x, 7x, 9x. Eight years ago, sum was (4x-8)+(7x-8)+(9x-8) = 56. 20x - 24 = 56 => 20x = 80 => x = 4. Present ages: 4(4)=16, 7(4)=28, 9(4)=36.

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