Liam is
y years old. Pierre is six times as old as Liam and Caden is 12 years younger than Pierre.
- Express Caden's age in terms of y.
- Liam is 9 years old as of now. ln how many years' time will Caden be 4 times as old as Liam?
(a)
Liam's age =
y years
Pierre's age = 6
y years
Caden's age = (6
y - 12) years
(b)
y = 9
Difference in age remains unchanged.
Difference in age between Caden and Liam
= (6
y - 12) -
y = 6
y -
y - 12
= 5
y - 12
= 5 x 9 - 12
= 33 years
Difference in the age when Caden will be 4 times as old as Liam
= 4 u - 1 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Number of years' time so Caden will be 4 times as old as Liam
= 11 - 9
= 2 years
Answer(s): (a) (6
y - 12) years; (b) 2 years
