Jeremy is
j years old. Gabriel is four times as old as Jeremy and Dylan is 4 years younger than Gabriel.
- Express Dylan's age in terms of j.
- Jeremy is 8 years old as of now. ln how many years' time will Dylan be 3 times as old as Jeremy?
(a)
Jeremy's age =
j years
Gabriel's age = 4
j years
Dylan's age = (4
j - 4) years
(b)
j = 8
Difference in age remains unchanged.
Difference in age between Dylan and Jeremy
= (4
j - 4) -
j = 4
j -
j - 4
= 3
j - 4
= 3 x 8 - 4
= 20 years
Difference in the age when Dylan will be 3 times as old as Jeremy
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of years' time so Dylan will be 3 times as old as Jeremy
= 10 - 8
= 2 years
Answer(s): (a) (4
j - 4) years; (b) 2 years
