Zane is
s years old. Mark is six times as old as Zane and Gabriel is 12 years younger than Mark.
- Express Gabriel's age in terms of s.
- Zane is 8 years old as of now. ln how many years' time will Gabriel be 3 times as old as Zane?
(a)
Zane's age =
s years
Mark's age = 6
s years
Gabriel's age = (6
s - 12) years
(b)
s = 8
Difference in age remains unchanged.
Difference in age between Gabriel and Zane
= (6
s - 12) -
s = 6
s -
s - 12
= 5
s - 12
= 5 x 8 - 12
= 28 years
Difference in the age when Gabriel will be 3 times as old as Zane
= 3 u - 1 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' time so Gabriel will be 3 times as old as Zane
= 14 - 8
= 6 years
Answer(s): (a) (6
s - 12) years; (b) 6 years