A man age is (3p+2q) years and his only son’s age is ‘p’ years while his only…
2023
A man age is (3p+2q) years and his only son’s age is ‘p’ years while his only daughter’s age is ‘q’ years. Man’s son is three years elder than her sister. If man’s wife is five years younger than her husband who is 34 years old, then find average age of the family (in years).
- A.
14.5
- B.
19.0
- C.
16.5
- D.
22.5
- E.
20.5
Attempted by 27 students.
Show answer & explanation
Correct answer: B
The man is 34, so 3p + 2q = 34. His son is three years older than his daughter, so p = q + 3. Solving gives q = 5 and p = 8. His wife is 29, so average age = (34 + 29 + 8 + 5)/4 = 19.