Warren is
n years old. Luke is six times as old as Warren and Howard is 4 years younger than Luke.
- Express Howard's age in terms of n.
- Warren is 8 years old as of now. ln how many years' time will Howard be 4 times as old as Warren?
(a)
Warren's age =
n years
Luke's age = 6
n years
Howard's age = (6
n - 4) years
(b)
n = 8
Difference in age remains unchanged.
Difference in age between Howard and Warren
= (6
n - 4) -
n = 6
n -
n - 4
= 5
n - 4
= 5 x 8 - 4
= 36 years
Difference in the age when Howard will be 4 times as old as Warren
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Howard will be 4 times as old as Warren
= 12 - 8
= 4 years
Answer(s): (a) (6
n - 4) years; (b) 4 years