Perry is
w years old. Peter is six times as old as Perry and George is 10 years younger than Peter.
- Express George's age in terms of w.
- Perry is 8 years old as of now. ln how many years' time will George be 3 times as old as Perry?
(a)
Perry's age =
w years
Peter's age = 6
w years
George's age = (6
w - 10) years
(b)
w = 8
Difference in age remains unchanged.
Difference in age between George and Perry
= (6
w - 10) -
w = 6
w -
w - 10
= 5
w - 10
= 5 x 8 - 10
= 30 years
Difference in the age when George will be 3 times as old as Perry
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so George will be 3 times as old as Perry
= 15 - 8
= 7 years
Answer(s): (a) (6
w - 10) years; (b) 7 years