Caden is
m years old. Dylan is six times as old as Caden and Jack is 14 years younger than Dylan.
- Express Jack's age in terms of m.
- Caden is 6 years old as of now. ln how many years' time will Jack be 3 times as old as Caden?
(a)
Caden's age =
m years
Dylan's age = 6
m years
Jack's age = (6
m - 14) years
(b)
m = 6
Difference in age remains unchanged.
Difference in age between Jack and Caden
= (6
m - 14) -
m = 6
m -
m - 14
= 5
m - 14
= 5 x 6 - 14
= 16 years
Difference in the age when Jack will be 3 times as old as Caden
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' time so Jack will be 3 times as old as Caden
= 8 - 6
= 2 years
Answer(s): (a) (6
m - 14) years; (b) 2 years
