Perry is
f years old. Sam is six times as old as Perry and Owen is 6 years younger than Sam.
- Express Owen's age in terms of f.
- Perry is 6 years old as of now. ln how many years' time will Owen be 3 times as old as Perry?
(a)
Perry's age =
f years
Sam's age = 6
f years
Owen's age = (6
f - 6) years
(b)
f = 6
Difference in age remains unchanged.
Difference in age between Owen and Perry
= (6
f - 6) -
f = 6
f -
f - 6
= 5
f - 6
= 5 x 6 - 6
= 24 years
Difference in the age when Owen will be 3 times as old as Perry
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Owen will be 3 times as old as Perry
= 12 - 6
= 6 years
Answer(s): (a) (6
f - 6) years; (b) 6 years
