Gabriel is
q years old. Dylan is six times as old as Gabriel and Glen is 5 years younger than Dylan.
- Express Glen's age in terms of q.
- Gabriel is 9 years old as of now. ln how many years' time will Glen be 3 times as old as Gabriel?
(a)
Gabriel's age =
q years
Dylan's age = 6
q years
Glen's age = (6
q - 5) years
(b)
q = 9
Difference in age remains unchanged.
Difference in age between Glen and Gabriel
= (6
q - 5) -
q = 6
q -
q - 5
= 5
q - 5
= 5 x 9 - 5
= 40 years
Difference in the age when Glen will be 3 times as old as Gabriel
= 3 u - 1 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of years' time so Glen will be 3 times as old as Gabriel
= 20 - 9
= 11 years
Answer(s): (a) (6
q - 5) years; (b) 11 years