Ben is
t years old. Jeremy is six times as old as Ben and Will is 5 years younger than Jeremy.
- Express Will's age in terms of t.
- Ben is 7 years old as of now. ln how many years' time will Will be 4 times as old as Ben?
(a)
Ben's age =
t years
Jeremy's age = 6
t years
Will's age = (6
t - 5) years
(b)
t = 7
Difference in age remains unchanged.
Difference in age between Will and Ben
= (6
t - 5) -
t = 6
t -
t - 5
= 5
t - 5
= 5 x 7 - 5
= 30 years
Difference in the age when Will will be 4 times as old as Ben
= 4 u - 1 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of years' time so Will will be 4 times as old as Ben
= 10 - 7
= 3 years
Answer(s): (a) (6
t - 5) years; (b) 3 years
