Tim is
z years old. Owen is four times as old as Tim and Harry is 6 years younger than Owen.
- Express Harry's age in terms of z.
- Tim is 10 years old as of now. ln how many years' time will Harry be 3 times as old as Tim?
(a)
Tim's age =
z years
Owen's age = 4
z years
Harry's age = (4
z - 6) years
(b)
z = 10
Difference in age remains unchanged.
Difference in age between Harry and Tim
= (4
z - 6) -
z = 4
z -
z - 6
= 3
z - 6
= 3 x 10 - 6
= 24 years
Difference in the age when Harry will be 3 times as old as Tim
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Harry will be 3 times as old as Tim
= 12 - 10
= 2 years
Answer(s): (a) (4
z - 6) years; (b) 2 years