Multiple choice

A man's present age is 3/10 the age of his father. After 12 years, his age will be 5/12 the age of his father. What is the father's present age?

  1. 60 years

  2. 70 years

  3. 40 years

  4. 50 years

  5. None of these
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A Correct answer
Explanation

Let man's age be M and father's be F. M = 0.3F. (M+12) = 5/12(F+12). Substitute M: 0.3F + 12 = 5/12F + 5. 7 = (5/12 - 3/10)F = (25-18)/60 F = 7/60 F. F = 60.

AI explanation

Let the father's present age be F and the son's present age be S, so S = 0.3F. After 12 years, (S + 12) / (F + 12) = 5/12. Substituting S gives 12(0.3F + 12) = 5(F + 12), which simplifies to 3.6F + 144 = 5F + 60 and F = 60. The father's present age is 60 years.

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