Multiple choice

A man is 20 years older than his son. In 15 years, his age will be 3/2 the age of his son. Find the present age of his son.

  1. 20 years

  2. 25 years

  3. 22 years

  4. 23 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the son's present age be x, then the man's age is x + 20. In 15 years, the son will be x + 15 and the man will be x + 35. Given x + 35 = 1.5(x + 15), we solve: x + 35 = 1.5x + 22.5, which simplifies to 0.5x = 12.5, so x = 25.

AI explanation

Let the son's present age be x, making the father's present age x plus 20. In 15 years, the father's age of x plus 35 equals 3/2 times the son's age of x plus 15. Multiplying by 2 gives 2x plus 70 equals 3x plus 45, so x equals 25. The present age of the son is 25 years.

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