Ken is
c years old. Jack is six times as old as Ken and Sean is 6 years younger than Jack.
- Express Sean's age in terms of c.
- Ken is 8 years old as of now. ln how many years' time will Sean be 3 times as old as Ken?
(a)
Ken's age =
c years
Jack's age = 6
c years
Sean's age = (6
c - 6) years
(b)
c = 8
Difference in age remains unchanged.
Difference in age between Sean and Ken
= (6
c - 6) -
c = 6
c -
c - 6
= 5
c - 6
= 5 x 8 - 6
= 34 years
Difference in the age when Sean will be 3 times as old as Ken
= 3 u - 1 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
Number of years' time so Sean will be 3 times as old as Ken
= 17 - 8
= 9 years
Answer(s): (a) (6
c - 6) years; (b) 9 years
