Jenson is
w years old. Jack is five times as old as Jenson and Oliver is 14 years younger than Jack.
- Express Oliver's age in terms of w.
- Jenson is 10 years old as of now. ln how many years' time will Oliver be 3 times as old as Jenson?
(a)
Jenson's age =
w years
Jack's age = 5
w years
Oliver's age = (5
w - 14) years
(b)
w = 10
Difference in age remains unchanged.
Difference in age between Oliver and Jenson
= (5
w - 14) -
w = 5
w -
w - 14
= 4
w - 14
= 4 x 10 - 14
= 26 years
Difference in the age when Oliver will be 3 times as old as Jenson
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Oliver will be 3 times as old as Jenson
= 13 - 10
= 3 years
Answer(s): (a) (5
w - 14) years; (b) 3 years