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

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