George is
n years old. Ben is six times as old as George and Perry is 15 years younger than Ben.
- Express Perry's age in terms of n.
- George is 9 years old as of now. ln how many years' time will Perry be 3 times as old as George?
(a)
George's age =
n years
Ben's age = 6
n years
Perry's age = (6
n - 15) years
(b)
n = 9
Difference in age remains unchanged.
Difference in age between Perry and George
= (6
n - 15) -
n = 6
n -
n - 15
= 5
n - 15
= 5 x 9 - 15
= 30 years
Difference in the age when Perry will be 3 times as old as George
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so Perry will be 3 times as old as George
= 15 - 9
= 6 years
Answer(s): (a) (6
n - 15) years; (b) 6 years
