Ahmad is
m years old. Jeremy is six times as old as Ahmad and Liam is 11 years younger than Jeremy.
- Express Liam's age in terms of m.
- Ahmad is 9 years old as of now. ln how many years' time will Liam be 3 times as old as Ahmad?
(a)
Ahmad's age =
m years
Jeremy's age = 6
m years
Liam's age = (6
m - 11) years
(b)
m = 9
Difference in age remains unchanged.
Difference in age between Liam and Ahmad
= (6
m - 11) -
m = 6
m -
m - 11
= 5
m - 11
= 5 x 9 - 11
= 34 years
Difference in the age when Liam will be 3 times as old as Ahmad
= 3 u - 1 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
Number of years' time so Liam will be 3 times as old as Ahmad
= 17 - 9
= 8 years
Answer(s): (a) (6
m - 11) years; (b) 8 years
