Tim is
i years old. Julian is six times as old as Tim and Liam is 11 years younger than Julian.
- Express Liam's age in terms of i.
- Tim is 10 years old as of now. ln how many years' time will Liam be 4 times as old as Tim?
(a)
Tim's age =
i years
Julian's age = 6
i years
Liam's age = (6
i - 11) years
(b)
i = 10
Difference in age remains unchanged.
Difference in age between Liam and Tim
= (6
i - 11) -
i = 6
i -
i - 11
= 5
i - 11
= 5 x 10 - 11
= 39 years
Difference in the age when Liam will be 4 times as old as Tim
= 4 u - 1 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Number of years' time so Liam will be 4 times as old as Tim
= 13 - 10
= 3 years
Answer(s): (a) (6
i - 11) years; (b) 3 years
