Owen is
i years old. Elijah is six times as old as Owen and Caden is 4 years younger than Elijah.
- Express Caden's age in terms of i.
- Owen is 5 years old as of now. ln how many years' time will Caden be 4 times as old as Owen?
(a)
Owen's age =
i years
Elijah's age = 6
i years
Caden's age = (6
i - 4) years
(b)
i = 5
Difference in age remains unchanged.
Difference in age between Caden and Owen
= (6
i - 4) -
i = 6
i -
i - 4
= 5
i - 4
= 5 x 5 - 4
= 21 years
Difference in the age when Caden will be 4 times as old as Owen
= 4 u - 1 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of years' time so Caden will be 4 times as old as Owen
= 7 - 5
= 2 years
Answer(s): (a) (6
i - 4) years; (b) 2 years