The difference between the age of father and mother is 3 years as father is elder than mother. They married after 3 years and after some time a child is born. The average age of the couple at the time of their son's birth is 35 years. Find the time after which the child is born if the initial age of the father before marriage was 29 years.
The difference between the age of father and mother is 3 years as father is elder than mother. They married after 3 years and after some time a child is born. The average age of the couple at the time of their son's birth is 35 years. Find the time after which the child is born if the initial age of the father before marriage was 29 years. Correct Answer 4 years 6 months
Given:
Difference between father's and mother's age = 3 years
Average age of the couple at the time of Child's birth = 35 years
Initial age of father = 29 years
Calculation:
Mother's initial age = 29 – 3 = 26 years
Now, Father's age at the time of marriage = 29 + 3 = 32 years
Mother's age at the time of marriage = 26 + 3 = 29 years
Now, Let the child is born after x years
So, (32 + x + 29 + x)/2 = 35
⇒ 61 + 2x = 70
⇒ 2x = 9
⇒ x = 9/2 = 4.5 years
∴ The child is born after 4.5 years