Seth is
p years old. Archie is five times as old as Seth and Cole is 12 years younger than Archie.
- Express Cole's age in terms of p.
- Seth is 9 years old as of now. ln how many years' time will Cole be 3 times as old as Seth?
(a)
Seth's age =
p years
Archie's age = 5
p years
Cole's age = (5
p - 12) years
(b)
p = 9
Difference in age remains unchanged.
Difference in age between Cole and Seth
= (5
p - 12) -
p = 5
p -
p - 12
= 4
p - 12
= 4 x 9 - 12
= 24 years
Difference in the age when Cole will be 3 times as old as Seth
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Cole will be 3 times as old as Seth
= 12 - 9
= 3 years
Answer(s): (a) (5
p - 12) years; (b) 3 years
