Zane is
i years old. John is six times as old as Zane and Mark is 12 years younger than John.
- Express Mark's age in terms of i.
- Zane is 9 years old as of now. ln how many years' time will Mark be 4 times as old as Zane?
(a)
Zane's age =
i years
John's age = 6
i years
Mark's age = (6
i - 12) years
(b)
i = 9
Difference in age remains unchanged.
Difference in age between Mark and Zane
= (6
i - 12) -
i = 6
i -
i - 12
= 5
i - 12
= 5 x 9 - 12
= 33 years
Difference in the age when Mark will be 4 times as old as Zane
= 4 u - 1 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Number of years' time so Mark will be 4 times as old as Zane
= 11 - 9
= 2 years
Answer(s): (a) (6
i - 12) years; (b) 2 years
