Multiple choice

A man's age is three times that of his son and in twelve years he will be twice as old as his son would be. What are their present ages?

  1. Present age of man is $60$ years and

    Present age of son is $20$ years
  2. Present age of man is $45$ years and

    Present age of son is $15$ years
  3. Present age of man is $54$ years and

    Present age of son is $18$ years
  4. Present age of man is $36$ years and

    Present age of son is $12$ years
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D Correct answer
Explanation

Let M = 3S. (M + 12) = 2(S + 12). 3S + 12 = 2S + 24. S = 12. M = 36.

AI explanation

Let the present age of the son be x years, making the age of the man equal to 3x. In twelve years, the equation is 3x plus 12 equals 2 times x plus 12. Expanding gives 3x plus 12 equals 2x plus 24, so x equals 12. The present age of the man is 3 times 12, which is 36 years, and the present age of the son is 12 years.

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