Oscar is
z years old. Lee is six times as old as Oscar and Liam is 11 years younger than Lee.
- Express Liam's age in terms of z.
- Oscar is 5 years old as of now. ln how many years' time will Liam be 3 times as old as Oscar?
(a)
Oscar's age =
z years
Lee's age = 6
z years
Liam's age = (6
z - 11) years
(b)
z = 5
Difference in age remains unchanged.
Difference in age between Liam and Oscar
= (6
z - 11) -
z = 6
z -
z - 11
= 5
z - 11
= 5 x 5 - 11
= 14 years
Difference in the age when Liam will be 3 times as old as Oscar
= 3 u - 1 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of years' time so Liam will be 3 times as old as Oscar
= 7 - 5
= 2 years
Answer(s): (a) (6
z - 11) years; (b) 2 years
