George is
q years old. Oliver is six times as old as George and Jack is 14 years younger than Oliver.
- Express Jack's age in terms of q.
- George is 10 years old as of now. ln how many years' time will Jack be 4 times as old as George?
(a)
George's age =
q years
Oliver's age = 6
q years
Jack's age = (6
q - 14) years
(b)
q = 10
Difference in age remains unchanged.
Difference in age between Jack and George
= (6
q - 14) -
q = 6
q -
q - 14
= 5
q - 14
= 5 x 10 - 14
= 36 years
Difference in the age when Jack will be 4 times as old as George
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Jack will be 4 times as old as George
= 12 - 10
= 2 years
Answer(s): (a) (6
q - 14) years; (b) 2 years
