Caden is
x years old. Neave is five times as old as Caden and Fabian is 8 years younger than Neave.
- Express Fabian's age in terms of x.
- Caden is 8 years old as of now. ln how many years' time will Fabian be 3 times as old as Caden?
(a)
Caden's age =
x years
Neave's age = 5
x years
Fabian's age = (5
x - 8) years
(b)
x = 8
Difference in age remains unchanged.
Difference in age between Fabian and Caden
= (5
x - 8) -
x = 5
x -
x - 8
= 4
x - 8
= 4 x 8 - 8
= 24 years
Difference in the age when Fabian will be 3 times as old as Caden
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Fabian will be 3 times as old as Caden
= 12 - 8
= 4 years
Answer(s): (a) (5
x - 8) years; (b) 4 years
