Multiple choice

A father's age is 7 years more than the mother's age, and at present, the mother's age is 3 times the daughter's age. What is the father's age at the birth of the daughter?

  1. 27 year

  2. 37 year

  3. 15 year

  4. 40 year

  5. None of these

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

At daughter's birth, daughter's age = 0. Mother's age then = present age - daughter's present age. If daughter's present age = d, mother's present age = 3d, father's present age = 3d + 7. At daughter's birth (d years ago), father's age = (3d + 7) - d = 2d + 7. But mother's age then = 3d - d = 2d, so father was 7 years older than mother, which matches given. However, we need to find actual values. At daughter's birth, father's age = (mother's age at daughter's birth) + 7. But mother's age at daughter's birth = daughter's present age = d. So father's age at daughter's birth = d + 7. But this is not matching any option directly. Actually, if father is always 7 years older than mother, and at daughter's birth mother's age was d (daughter's current age), then father's age at daughter's birth = d + 7. This only works if d = 20, giving father's age = 27 at daughter's birth. Option A (27 years) is the only one where father is 7 years older than mother (mother would be 20).