Multiple choice

A father's age is 6 times his son's age. After 10 years, the father's age becomes 4 times his son's age. What is the present age of the father?

  1. 60 years

  2. 80 years

  3. 90 years

  4. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's age be x, father's age be 6x. After 10 years, 6x + 10 = 4(x + 10). 6x + 10 = 4x + 40, so 2x = 30, x = 15. Father's age = 6 * 15 = 90.

AI explanation

Let the present ages of the father and son be F and S. We are given F = 6S, and after 10 years, F + 10 = 4(S + 10). Substituting 6S for F gives 6S + 10 = 4S + 40, which simplifies to 2S = 30 and S = 15. Therefore, the father's present age is 6 multiplied by 15, which is 90 years.