Multiple choice

The age of father, 5 years ago, was 7 times the age of his son. Presently, the father's age is 4 times the age of his son. Find the present age of the father.

  1. 35 years

  2. 30 years

  3. 38 years

  4. 40 years

  5. None of these

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

Let F and S be present ages. F-5 = 7(S-5) and F = 4S. 4S-5 = 7S-35. 30 = 3S, S = 10. F = 4 * 10 = 40.

AI explanation

Let the son's present age be S years, making the father's present age 4S years. Five years ago, their ages were 7S and S, establishing the equation 4S - 5 = 7 times (S - 5). Expanding gives 4S - 5 = 7S - 35, which simplifies to 3S = 30 and S = 10. The father's present age is 4 times 10, or 40 years.