Archie is
t years old. Daniel is five times as old as Archie and Jenson is 6 years younger than Daniel.
- Express Jenson's age in terms of t.
- Archie is 8 years old as of now. ln how many years' time will Jenson be 3 times as old as Archie?
(a)
Archie's age =
t years
Daniel's age = 5
t years
Jenson's age = (5
t - 6) years
(b)
t = 8
Difference in age remains unchanged.
Difference in age between Jenson and Archie
= (5
t - 6) -
t = 5
t -
t - 6
= 4
t - 6
= 4 x 8 - 6
= 26 years
Difference in the age when Jenson will be 3 times as old as Archie
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Jenson will be 3 times as old as Archie
= 13 - 8
= 5 years
Answer(s): (a) (5
t - 6) years; (b) 5 years
