Sam is
t years old. Tim is five times as old as Sam and Gabriel is 8 years younger than Tim.
- Express Gabriel's age in terms of t.
- Sam is 7 years old as of now. ln how many years' time will Gabriel be 3 times as old as Sam?
(a)
Sam's age =
t years
Tim's age = 5
t years
Gabriel's age = (5
t - 8) years
(b)
t = 7
Difference in age remains unchanged.
Difference in age between Gabriel and Sam
= (5
t - 8) -
t = 5
t -
t - 8
= 4
t - 8
= 4 x 7 - 8
= 20 years
Difference in the age when Gabriel will be 3 times as old as Sam
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of years' time so Gabriel will be 3 times as old as Sam
= 10 - 7
= 3 years
Answer(s): (a) (5
t - 8) years; (b) 3 years
