Multiple choice

Manish's present age is (\frac{2}{7}) of his father's present age. Manish's sister is 3 years older than Manish. The respective ratio between the present ages of Manish's father and Manish's sister is 14 : 5. What is Manish's present age?

  1. 10 years

  2. 12 years

  3. 15 years

  4. Cannot be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Manish's age be M and father's age be F. Given M = (2/7)F. Sister's age S = M + 3. Also F:S = 14:5, so S = (5/14)F. Equating: (5/14)F = (2/7)F + 3. This gives (5/14)F = (4/14)F + 3, so (1/14)F = 3, meaning F = 42. Therefore M = (2/7) × 42 = 12 years.

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