Multiple choice

The age of a father is 4 times that of his daughter. After 10 years, his age would be 2 1 2 times the age of his daughter at that time. After 16 years, what would be his daughter's age?

  1. 26 years

  2. 24 years

  3. 30 years

  4. 32 years

  5. 34 years

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

F = 4D. (F+10) = 2.5(D+10) => 4D + 10 = 2.5D + 25 => 1.5D = 15 => D = 10. Daughter's present age = 10. After 16 years, age = 10 + 16 = 26.

AI explanation

Let the present ages of the father and daughter be F and D; from the first statement F = 4D. In 10 years, the father's age will be 2.5 times the daughter's age, giving the equation F + 10 = 2.5(D + 10). Substituting 4D for F results in 4D + 10 = 2.5D + 25, meaning 1.5D = 15 and D = 10. After 16 years, the daughter's age will be 10 + 16 = 26. The result is 26 years.