Jenson is
x years old. Jeremy is six times as old as Jenson and Archie is 11 years younger than Jeremy.
- Express Archie's age in terms of x.
- Jenson is 5 years old as of now. ln how many years' time will Archie be 3 times as old as Jenson?
(a)
Jenson's age =
x years
Jeremy's age = 6
x years
Archie's age = (6
x - 11) years
(b)
x = 5
Difference in age remains unchanged.
Difference in age between Archie and Jenson
= (6
x - 11) -
x = 6
x -
x - 11
= 5
x - 11
= 5 x 5 - 11
= 14 years
Difference in the age when Archie will be 3 times as old as Jenson
= 3 u - 1 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of years' time so Archie will be 3 times as old as Jenson
= 7 - 5
= 2 years
Answer(s): (a) (6
x - 11) years; (b) 2 years
