Asher is
y years old. Nick is six times as old as Asher and Tom is 6 years younger than Nick.
- Express Tom's age in terms of y.
- Asher is 9 years old as of now. ln how many years' time will Tom be 4 times as old as Asher?
(a)
Asher's age =
y years
Nick's age = 6
y years
Tom's age = (6
y - 6) years
(b)
y = 9
Difference in age remains unchanged.
Difference in age between Tom and Asher
= (6
y - 6) -
y = 6
y -
y - 6
= 5
y - 6
= 5 x 9 - 6
= 39 years
Difference in the age when Tom will be 4 times as old as Asher
= 4 u - 1 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Number of years' time so Tom will be 4 times as old as Asher
= 13 - 9
= 4 years
Answer(s): (a) (6
y - 6) years; (b) 4 years
