Gabriel is
t years old. Riordan is five times as old as Gabriel and Zane is 4 years younger than Riordan.
- Express Zane's age in terms of t.
- Gabriel is 5 years old as of now. ln how many years' time will Zane be 3 times as old as Gabriel?
(a)
Gabriel's age =
t years
Riordan's age = 5
t years
Zane's age = (5
t - 4) years
(b)
t = 5
Difference in age remains unchanged.
Difference in age between Zane and Gabriel
= (5
t - 4) -
t = 5
t -
t - 4
= 4
t - 4
= 4 x 5 - 4
= 16 years
Difference in the age when Zane will be 3 times as old as Gabriel
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' time so Zane will be 3 times as old as Gabriel
= 8 - 5
= 3 years
Answer(s): (a) (5
t - 4) years; (b) 3 years