Multiple choice

The present age of son is half of the present age of his mother. Ten years ago, his mother’s age was thrice the age of her son. What is the present age of the son?

  1. 20 years

  2. 25 years

  3. 40 years

  4. 35 years

  5. None of these
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A Correct answer
Explanation

Let son's age be x, mother's be 2x. Ten years ago: 2x - 10 = 3(x - 10). 2x - 10 = 3x - 30. x = 20. Son is 20.

AI explanation

Let the present age of the mother be M and the son be S. Given S = M / 2 and M - 10 = 3(S - 10). Substituting the first equation into the second gives M - 10 = 3(M / 2 - 10), which simplifies to M - 10 = 1.5M - 30. Solving for M gives 20 = 0.5M, so M = 40. The son's present age is half of 40, which is 20 years.

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