A father is 7 years older than the mother and the mother’s age now is 3 times the age of the daughter. The daughter is 10 years old now. What was the father’s age when the daughter was born?
A father is 7 years older than the mother and the mother’s age now is 3 times the age of the daughter. The daughter is 10 years old now. What was the father’s age when the daughter was born? Correct Answer 27 years
Given:
Age of the daughter = 10 years
Father is 7 years older than the mother
The mother’s age now is 3 times the age of the daughter
The daughter is 10 years old now
Calculation:
According to the question
The mother’s age now is 3 times the age of the daughter.
⇒ Age of mother = 3 × 10 years = 30 years.
Again, Father is 7 years older than the mother.
⇒ Age of father = (30 + 7) years = 37 years.
⇒ Age of father when daughter was born
⇒ Age of father 10 years ago
⇒ 37 years – 10 years
⇒ 27 years
∴ Age of father when daughter was born was 27 years.