Multiple choice

Father's age is four times the daughter's age. After 8 years father's age will be thrice the daughter's age. What is daughter's age?

  1. 18 years

  2. 16 years

  3. 24 years

  4. 20 years

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

Let daughter's current age = x years. Father's current age = 4x years. After 8 years: daughter = x + 8, father = 4x + 8. Given: 4x + 8 = 3(x + 8). Solving: 4x + 8 = 3x + 24, so x = 16. Daughter is currently 16 years old. This can be verified: father is 64 now, after 8 years father will be 72 and daughter will be 24, and 72 = 3 × 24.

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