Caden is
t years old. Wesley is six times as old as Caden and Bobby is 12 years younger than Wesley.
- Express Bobby's age in terms of t.
- Caden is 9 years old as of now. ln how many years' time will Bobby be 4 times as old as Caden?
(a)
Caden's age =
t years
Wesley's age = 6
t years
Bobby's age = (6
t - 12) years
(b)
t = 9
Difference in age remains unchanged.
Difference in age between Bobby and Caden
= (6
t - 12) -
t = 6
t -
t - 12
= 5
t - 12
= 5 x 9 - 12
= 33 years
Difference in the age when Bobby will be 4 times as old as Caden
= 4 u - 1 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Number of years' time so Bobby will be 4 times as old as Caden
= 11 - 9
= 2 years
Answer(s): (a) (6
t - 12) years; (b) 2 years
