Multiple choice

Father's age was five times his son's age five years ago and will be three times the son's age after two years. The ratio of the present age of the father to that of the son is -

  1. $4 : 1$
  2. $8 : 3$
  3. $10 : 3$
  4. $12 : 5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be F (father) and S (son). Five years ago: F - 5 = 5(S - 5), so F = 5S - 20. After two years: F + 2 = 3(S + 2), so F = 3S + 4. Equating: 5S - 20 = 3S + 4, giving 2S = 24, so S = 12 and F = 40. Ratio F:S = 40:12 = 10:3. Options A, B, D are incorrect ratios from misinterpreting the timeline.

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