Gabriel is
r years old. Zane is five times as old as Gabriel and Ivan is 4 years younger than Zane.
- Express Ivan's age in terms of r.
- Gabriel is 8 years old as of now. ln how many years' time will Ivan be 3 times as old as Gabriel?
(a)
Gabriel's age =
r years
Zane's age = 5
r years
Ivan's age = (5
r - 4) years
(b)
r = 8
Difference in age remains unchanged.
Difference in age between Ivan and Gabriel
= (5
r - 4) -
r = 5
r -
r - 4
= 4
r - 4
= 4 x 8 - 4
= 28 years
Difference in the age when Ivan will be 3 times as old as Gabriel
= 3 u - 1 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' time so Ivan will be 3 times as old as Gabriel
= 14 - 8
= 6 years
Answer(s): (a) (5
r - 4) years; (b) 6 years
