Gabriel is
w years old. Nick is six times as old as Gabriel and Vincent is 12 years younger than Nick.
- Express Vincent's age in terms of w.
- Gabriel is 10 years old as of now. ln how many years' time will Vincent be 3 times as old as Gabriel?
(a)
Gabriel's age =
w years
Nick's age = 6
w years
Vincent's age = (6
w - 12) years
(b)
w = 10
Difference in age remains unchanged.
Difference in age between Vincent and Gabriel
= (6
w - 12) -
w = 6
w -
w - 12
= 5
w - 12
= 5 x 10 - 12
= 38 years
Difference in the age when Vincent will be 3 times as old as Gabriel
= 3 u - 1 u
= 2 u
2 u = 38
1 u = 38 ÷ 2 = 19
Number of years' time so Vincent will be 3 times as old as Gabriel
= 19 - 10
= 9 years
Answer(s): (a) (6
w - 12) years; (b) 9 years
