Luke is
t years old. Tom is six times as old as Luke and Will is 5 years younger than Tom.
- Express Will's age in terms of t.
- Luke is 5 years old as of now. ln how many years' time will Will be 3 times as old as Luke?
(a)
Luke's age =
t years
Tom's age = 6
t years
Will's age = (6
t - 5) years
(b)
t = 5
Difference in age remains unchanged.
Difference in age between Will and Luke
= (6
t - 5) -
t = 6
t -
t - 5
= 5
t - 5
= 5 x 5 - 5
= 20 years
Difference in the age when Will will be 3 times as old as Luke
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of years' time so Will will be 3 times as old as Luke
= 10 - 5
= 5 years
Answer(s): (a) (6
t - 5) years; (b) 5 years
