Riordan is
h years old. Ryan is six times as old as Riordan and Jeremy is 9 years younger than Ryan.
- Express Jeremy's age in terms of h.
- Riordan is 7 years old as of now. ln how many years' time will Jeremy be 3 times as old as Riordan?
(a)
Riordan's age =
h years
Ryan's age = 6
h years
Jeremy's age = (6
h - 9) years
(b)
h = 7
Difference in age remains unchanged.
Difference in age between Jeremy and Riordan
= (6
h - 9) -
h = 6
h -
h - 9
= 5
h - 9
= 5 x 7 - 9
= 26 years
Difference in the age when Jeremy will be 3 times as old as Riordan
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Jeremy will be 3 times as old as Riordan
= 13 - 7
= 6 years
Answer(s): (a) (6
h - 9) years; (b) 6 years