Vincent is
d years old. Perry is six times as old as Vincent and Zane is 4 years younger than Perry.
- Express Zane's age in terms of d.
- Vincent is 8 years old as of now. ln how many years' time will Zane be 4 times as old as Vincent?
(a)
Vincent's age =
d years
Perry's age = 6
d years
Zane's age = (6
d - 4) years
(b)
d = 8
Difference in age remains unchanged.
Difference in age between Zane and Vincent
= (6
d - 4) -
d = 6
d -
d - 4
= 5
d - 4
= 5 x 8 - 4
= 36 years
Difference in the age when Zane will be 4 times as old as Vincent
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Zane will be 4 times as old as Vincent
= 12 - 8
= 4 years
Answer(s): (a) (6
d - 4) years; (b) 4 years