Fred is
p years old. Ian is six times as old as Fred and Caden is 12 years younger than Ian.
- Express Caden's age in terms of p.
- Fred is 8 years old as of now. ln how many years' time will Caden be 3 times as old as Fred?
(a)
Fred's age =
p years
Ian's age = 6
p years
Caden's age = (6
p - 12) years
(b)
p = 8
Difference in age remains unchanged.
Difference in age between Caden and Fred
= (6
p - 12) -
p = 6
p -
p - 12
= 5
p - 12
= 5 x 8 - 12
= 28 years
Difference in the age when Caden will be 3 times as old as Fred
= 3 u - 1 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' time so Caden will be 3 times as old as Fred
= 14 - 8
= 6 years
Answer(s): (a) (6
p - 12) years; (b) 6 years
