Luke is
h years old. Andy is six times as old as Luke and Bryan is 9 years younger than Andy.
- Express Bryan's age in terms of h.
- Luke is 9 years old as of now. ln how many years' time will Bryan be 3 times as old as Luke?
(a)
Luke's age =
h years
Andy's age = 6
h years
Bryan's age = (6
h - 9) years
(b)
h = 9
Difference in age remains unchanged.
Difference in age between Bryan and Luke
= (6
h - 9) -
h = 6
h -
h - 9
= 5
h - 9
= 5 x 9 - 9
= 36 years
Difference in the age when Bryan will be 3 times as old as Luke
= 3 u - 1 u
= 2 u
2 u = 36
1 u = 36 ÷ 2 = 18
Number of years' time so Bryan will be 3 times as old as Luke
= 18 - 9
= 9 years
Answer(s): (a) (6
h - 9) years; (b) 9 years