Archie is
s years old. Tommy is six times as old as Archie and Zane is 5 years younger than Tommy.
- Express Zane's age in terms of s.
- Archie is 10 years old as of now. ln how many years' time will Zane be 4 times as old as Archie?
(a)
Archie's age =
s years
Tommy's age = 6
s years
Zane's age = (6
s - 5) years
(b)
s = 10
Difference in age remains unchanged.
Difference in age between Zane and Archie
= (6
s - 5) -
s = 6
s -
s - 5
= 5
s - 5
= 5 x 10 - 5
= 45 years
Difference in the age when Zane will be 4 times as old as Archie
= 4 u - 1 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Number of years' time so Zane will be 4 times as old as Archie
= 15 - 10
= 5 years
Answer(s): (a) (6
s - 5) years; (b) 5 years
