Riordan is
k years old. Albert is six times as old as Riordan and Dylan is 6 years younger than Albert.
- Express Dylan's age in terms of k.
- Riordan is 9 years old as of now. ln how many years' time will Dylan be 4 times as old as Riordan?
(a)
Riordan's age =
k years
Albert's age = 6
k years
Dylan's age = (6
k - 6) years
(b)
k = 9
Difference in age remains unchanged.
Difference in age between Dylan and Riordan
= (6
k - 6) -
k = 6
k -
k - 6
= 5
k - 6
= 5 x 9 - 6
= 39 years
Difference in the age when Dylan will be 4 times as old as Riordan
= 4 u - 1 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Number of years' time so Dylan will be 4 times as old as Riordan
= 13 - 9
= 4 years
Answer(s): (a) (6
k - 6) years; (b) 4 years