Charlie is
q years old. Ben is four times as old as Charlie and Bryan is 6 years younger than Ben.
- Express Bryan's age in terms of q.
- Charlie is 10 years old as of now. ln how many years' time will Bryan be 3 times as old as Charlie?
(a)
Charlie's age =
q years
Ben's age = 4
q years
Bryan's age = (4
q - 6) years
(b)
q = 10
Difference in age remains unchanged.
Difference in age between Bryan and Charlie
= (4
q - 6) -
q = 4
q -
q - 6
= 3
q - 6
= 3 x 10 - 6
= 24 years
Difference in the age when Bryan will be 3 times as old as Charlie
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Bryan will be 3 times as old as Charlie
= 12 - 10
= 2 years
Answer(s): (a) (4
q - 6) years; (b) 2 years
