Multiple choice

A father is three times as old as his son. After ten years, the age of the father will be 5 more than twice the age of the son at that time. Find the present age (in years) of the father.

  1. 15

  2. 42

  3. 45

  4. 48

  5. None of these

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

Let son's age be x, father's be 3x. After 10 years: 3x+10 = 2(x+10) + 5. 3x+10 = 2x+20+5 => x = 15. Father's age = 3x = 45.

AI explanation

Let the son's present age be x, making the father's age 3x. After 10 years, the father's age will be 3x + 10 and the son's age will be x + 10. The equation is 3x + 10 = 2(x + 10) + 5, which simplifies to 3x + 10 = 2x + 25, yielding x = 15. The present age of the father is 3x, which is 3 * 15 = 45 years.