Archie is
z years old. Peter is five times as old as Archie and Asher is 8 years younger than Peter.
- Express Asher's age in terms of z.
- Archie is 6 years old as of now. ln how many years' time will Asher be 3 times as old as Archie?
(a)
Archie's age =
z years
Peter's age = 5
z years
Asher's age = (5
z - 8) years
(b)
z = 6
Difference in age remains unchanged.
Difference in age between Asher and Archie
= (5
z - 8) -
z = 5
z -
z - 8
= 4
z - 8
= 4 x 6 - 8
= 16 years
Difference in the age when Asher will be 3 times as old as Archie
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' time so Asher will be 3 times as old as Archie
= 8 - 6
= 2 years
Answer(s): (a) (5
z - 8) years; (b) 2 years
