Question

The average age of a husband and his wife was 26 years at the time of marriage. After 2 yrs, then average of the couple along with their child decreases by 7 years. What is the age of the child?

• A. 2 yrs
• B. 1 yrs
• C. 6 months
• D. 1.5 yrs

Answer 1

Answer:

B. 1 yrs

Let the age of husband be x and wife be y. (x + y)/2 = 26 ⇒ x + y = 26 × 2 x + y = 52 After 2 years, Let the age of husband be x + 2, wife be y + 2, and the child be z. (x + 2 + y + 2 + z)/3 = (26 - 7) ⇒ x + y + z + 4 = 19 × 3 ⇒ x + y + z = 57 - 4 x + y + z = 53 52 + z = 53 ⇒ z = 1