Ken is
c years old. Tom is six times as old as Ken and Justin is 10 years younger than Tom.
- Express Justin's age in terms of c.
- Ken is 8 years old as of now. ln how many years' time will Justin be 3 times as old as Ken?
(a)
Ken's age =
c years
Tom's age = 6
c years
Justin's age = (6
c - 10) years
(b)
c = 8
Difference in age remains unchanged.
Difference in age between Justin and Ken
= (6
c - 10) -
c = 6
c -
c - 10
= 5
c - 10
= 5 x 8 - 10
= 30 years
Difference in the age when Justin will be 3 times as old as Ken
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so Justin will be 3 times as old as Ken
= 15 - 8
= 7 years
Answer(s): (a) (6
c - 10) years; (b) 7 years
