Dylan is
r years old. Billy is six times as old as Dylan and Will is 9 years younger than Billy.
- Express Will's age in terms of r.
- Dylan is 9 years old as of now. ln how many years' time will Will be 4 times as old as Dylan?
(a)
Dylan's age =
r years
Billy's age = 6
r years
Will's age = (6
r - 9) years
(b)
r = 9
Difference in age remains unchanged.
Difference in age between Will and Dylan
= (6
r - 9) -
r = 6
r -
r - 9
= 5
r - 9
= 5 x 9 - 9
= 36 years
Difference in the age when Will will be 4 times as old as Dylan
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Will will be 4 times as old as Dylan
= 12 - 9
= 3 years
Answer(s): (a) (6
r - 9) years; (b) 3 years