Perry is
r years old. Peter is six times as old as Perry and Vincent is 10 years younger than Peter.
- Express Vincent's age in terms of r.
- Perry is 8 years old as of now. ln how many years' time will Vincent be 4 times as old as Perry?
(a)
Perry's age =
r years
Peter's age = 6
r years
Vincent's age = (6
r - 10) years
(b)
r = 8
Difference in age remains unchanged.
Difference in age between Vincent and Perry
= (6
r - 10) -
r = 6
r -
r - 10
= 5
r - 10
= 5 x 8 - 10
= 30 years
Difference in the age when Vincent will be 4 times as old as Perry
= 4 u - 1 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of years' time so Vincent will be 4 times as old as Perry
= 10 - 8
= 2 years
Answer(s): (a) (6
r - 10) years; (b) 2 years
