Jenson is
r years old. Ben is five times as old as Jenson and David is 6 years younger than Ben.
- Express David's age in terms of r.
- Jenson is 8 years old as of now. ln how many years' time will David be 3 times as old as Jenson?
(a)
Jenson's age =
r years
Ben's age = 5
r years
David's age = (5
r - 6) years
(b)
r = 8
Difference in age remains unchanged.
Difference in age between David and Jenson
= (5
r - 6) -
r = 5
r -
r - 6
= 4
r - 6
= 4 x 8 - 6
= 26 years
Difference in the age when David 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 David will be 3 times as old as Jenson
= 13 - 8
= 5 years
Answer(s): (a) (5
r - 6) years; (b) 5 years
