Elijah is
z years old. Cody is five times as old as Elijah and Rael is 10 years younger than Cody.
- Express Rael's age in terms of z.
- Elijah is 9 years old as of now. ln how many years' time will Rael be 3 times as old as Elijah?
(a)
Elijah's age =
z years
Cody's age = 5
z years
Rael's age = (5
z - 10) years
(b)
z = 9
Difference in age remains unchanged.
Difference in age between Rael and Elijah
= (5
z - 10) -
z = 5
z -
z - 10
= 4
z - 10
= 4 x 9 - 10
= 26 years
Difference in the age when Rael will be 3 times as old as Elijah
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Rael will be 3 times as old as Elijah
= 13 - 9
= 4 years
Answer(s): (a) (5
z - 10) years; (b) 4 years