Multiple choice

Amit’s age after 6 years will be three-seventh of his father’s age. Ten years ago the ratio of their ages was 1:5 .What is the age of Amit’s father at present?

  1. 45 years

  2. 63 years

  3. 50 years

  4. 56 years

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

Let Amit's present age = A, Father's present age = F. From first condition: A + 6 = (3/7)(F + 6). From second condition: (A - 10)/(F - 10) = 1/5, so 5(A - 10) = F - 10, meaning F = 5A - 40. Substituting: A + 6 = (3/7)(5A - 40 + 6) = (3/7)(5A - 34). Solving: 7A + 42 = 15A - 102, so 8A = 144, A = 18. Then F = 5(18) - 40 = 90 - 40 = 50 years. Option C is correct.

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