Multiple choice

The ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13:19. What is Rahul's present age (in years)?

  1. 24

  2. 30

  3. 36

  4. 48
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Rahul's present age be 3x and his sister's be 4x. Ten years ago: (3x-10)/(4x-10) = 13/19. Cross-multiplying: 57x - 190 = 52x - 130, so 5x = 60 and x = 12. Rahul's present age = 3x = 36 years. Option A (24) would be 3x if x=8, but that doesn't satisfy the past ratio. Option D (48) would make Rahul's sister 64, giving 38:54 = 19:27 ten years ago, not 13:19.

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