Elijah is
z years old. Reggie is five times as old as Elijah and Ken is 6 years younger than Reggie.
- Express Ken's age in terms of z.
- Elijah is 8 years old as of now. ln how many years' time will Ken be 3 times as old as Elijah?
(a)
Elijah's age =
z years
Reggie's age = 5
z years
Ken's age = (5
z - 6) years
(b)
z = 8
Difference in age remains unchanged.
Difference in age between Ken and Elijah
= (5
z - 6) -
z = 5
z -
z - 6
= 4
z - 6
= 4 x 8 - 6
= 26 years
Difference in the age when Ken 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 Ken will be 3 times as old as Elijah
= 13 - 8
= 5 years
Answer(s): (a) (5
z - 6) years; (b) 5 years
