Zane is
t years old. Ethan is six times as old as Zane and Bryan is 14 years younger than Ethan.
- Express Bryan's age in terms of t.
- Zane is 10 years old as of now. ln how many years' time will Bryan be 4 times as old as Zane?
(a)
Zane's age =
t years
Ethan's age = 6
t years
Bryan's age = (6
t - 14) years
(b)
t = 10
Difference in age remains unchanged.
Difference in age between Bryan and Zane
= (6
t - 14) -
t = 6
t -
t - 14
= 5
t - 14
= 5 x 10 - 14
= 36 years
Difference in the age when Bryan will be 4 times as old as Zane
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Bryan will be 4 times as old as Zane
= 12 - 10
= 2 years
Answer(s): (a) (6
t - 14) years; (b) 2 years
