Ivan is
q years old. Ian is six times as old as Ivan and Oliver is 12 years younger than Ian.
- Express Oliver's age in terms of q.
- Ivan is 6 years old as of now. ln how many years' time will Oliver be 3 times as old as Ivan?
(a)
Ivan's age =
q years
Ian's age = 6
q years
Oliver's age = (6
q - 12) years
(b)
q = 6
Difference in age remains unchanged.
Difference in age between Oliver and Ivan
= (6
q - 12) -
q = 6
q -
q - 12
= 5
q - 12
= 5 x 6 - 12
= 18 years
Difference in the age when Oliver will be 3 times as old as Ivan
= 3 u - 1 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of years' time so Oliver will be 3 times as old as Ivan
= 9 - 6
= 3 years
Answer(s): (a) (6
q - 12) years; (b) 3 years
