Caden is
f years old. Owen is six times as old as Caden and Elijah is 13 years younger than Owen.
- Express Elijah's age in terms of f.
- Caden is 7 years old as of now. ln how many years' time will Elijah be 3 times as old as Caden?
(a)
Caden's age =
f years
Owen's age = 6
f years
Elijah's age = (6
f - 13) years
(b)
f = 7
Difference in age remains unchanged.
Difference in age between Elijah and Caden
= (6
f - 13) -
f = 6
f -
f - 13
= 5
f - 13
= 5 x 7 - 13
= 22 years
Difference in the age when Elijah will be 3 times as old as Caden
= 3 u - 1 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of years' time so Elijah will be 3 times as old as Caden
= 11 - 7
= 4 years
Answer(s): (a) (6
f - 13) years; (b) 4 years
