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