Father says my son is five times older than my daughter. My wife is 5 times…
2025
Father says my son is five times older than my daughter. My wife is 5 times older than my son. I am twice as old as my wife and altogether (sum of our ages) is equal to my mother's age and she is celebrating her 81st birthday. So what is my son's age?
- A.
11 years
- B.
13 years
- C.
5 years
- D.
6 years
Attempted by 28 students.
Show answer & explanation
Correct answer: C
Let the daughter's age be x.
Then the son's age is 5x, the wife's age is 25x (5 × son), and the father's age is 50x (2 × wife).
Sum of ages: x + 5x + 25x + 50x = 81x.
Set equal to the mother's age: 81x = 81, so x = 1.
Son's age = 5x = 5 years.
Note: This interprets 'five times older than' as 'five times as old as' (son = 5 × daughter's age).