Multiple choice

If the sum of the father's age and son's age is 61 years and the product of their ages is 748 years. What will be the ratio of their ages after 10 years?

  1. 3: 1

  2. 4: 3

  3. 44: 17

  4. 2: 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let father's age = f, son's age = s. Given f + s = 61 and f × s = 748. Solving: s(61-s) = 748, so 61s - s^2 = 748, s^2 - 61s + 748 = 0. Factorizing: (s-8)(s-53) = 0. Since son is younger, s = 8, f = 53. After 10 years: father = 63, son = 18. Ratio = 63:18 = 7:2 = 2:1 (approximately). Option D is correct.

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