Peter is
w years old. Ian is six times as old as Peter and Liam is 6 years younger than Ian.
- Express Liam's age in terms of w.
- Peter is 6 years old as of now. ln how many years' time will Liam be 4 times as old as Peter?
(a)
Peter's age =
w years
Ian's age = 6
w years
Liam's age = (6
w - 6) years
(b)
w = 6
Difference in age remains unchanged.
Difference in age between Liam and Peter
= (6
w - 6) -
w = 6
w -
w - 6
= 5
w - 6
= 5 x 6 - 6
= 24 years
Difference in the age when Liam will be 4 times as old as Peter
= 4 u - 1 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of years' time so Liam will be 4 times as old as Peter
= 8 - 6
= 2 years
Answer(s): (a) (6
w - 6) years; (b) 2 years
