Multiple choice

I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. How old am I and how old is my son?

  1. My present age is 45 years and my son's present age is 15 years

  2. My present age is 60 years and my son's present age is 20 years

  3. My present age is 75 years and my son's present age is 25 years

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let my age be M and son's age be S. M = 3S. (M+5) = 2.5(S+5) => 3S + 5 = 2.5S + 12.5 => 0.5S = 7.5 => S = 15. M = 45.

AI explanation

Let the son's present age be x years; then my present age is 3x years. Five years later, my age will be (3x + 5) years and my son's age will be (x + 5) years. Based on the condition, 3x + 5 = 2.5 times (x + 5), which expands to 3x + 5 = 2.5x + 12.5. Solving this gives 0.5x = 7.5, so x = 15; therefore, my present age is 45 years and my son's present age is 15 years.

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