Owen is
i years old. Tommy is five times as old as Owen and Riordan is 10 years younger than Tommy.
- Express Riordan's age in terms of i.
- Owen is 10 years old as of now. ln how many years' time will Riordan be 3 times as old as Owen?
(a)
Owen's age =
i years
Tommy's age = 5
i years
Riordan's age = (5
i - 10) years
(b)
i = 10
Difference in age remains unchanged.
Difference in age between Riordan and Owen
= (5
i - 10) -
i = 5
i -
i - 10
= 4
i - 10
= 4 x 10 - 10
= 30 years
Difference in the age when Riordan will be 3 times as old as Owen
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so Riordan will be 3 times as old as Owen
= 15 - 10
= 5 years
Answer(s): (a) (5
i - 10) years; (b) 5 years
