Tim is
h years old. Japheth is five times as old as Tim and Gabriel is 4 years younger than Japheth.
- Express Gabriel's age in terms of h.
- Tim is 7 years old as of now. ln how many years' time will Gabriel be 3 times as old as Tim?
(a)
Tim's age =
h years
Japheth's age = 5
h years
Gabriel's age = (5
h - 4) years
(b)
h = 7
Difference in age remains unchanged.
Difference in age between Gabriel and Tim
= (5
h - 4) -
h = 5
h -
h - 4
= 4
h - 4
= 4 x 7 - 4
= 24 years
Difference in the age when Gabriel will be 3 times as old as Tim
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Gabriel will be 3 times as old as Tim
= 12 - 7
= 5 years
Answer(s): (a) (5
h - 4) years; (b) 5 years
