Tom is
r years old. Charlie is five times as old as Tom and Wesley is 4 years younger than Charlie.
- Express Wesley's age in terms of r.
- Tom is 10 years old as of now. ln how many years' time will Wesley be 4 times as old as Tom?
(a)
Tom's age =
r years
Charlie's age = 5
r years
Wesley's age = (5
r - 4) years
(b)
r = 10
Difference in age remains unchanged.
Difference in age between Wesley and Tom
= (5
r - 4) -
r = 5
r -
r - 4
= 4
r - 4
= 4 x 10 - 4
= 36 years
Difference in the age when Wesley will be 4 times as old as Tom
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Wesley will be 4 times as old as Tom
= 12 - 10
= 2 years
Answer(s): (a) (5
r - 4) years; (b) 2 years