Eric is
m years old. Archie is six times as old as Eric and Seth is 15 years younger than Archie.
- Express Seth's age in terms of m.
- Eric is 9 years old as of now. ln how many years' time will Seth be 3 times as old as Eric?
(a)
Eric's age =
m years
Archie's age = 6
m years
Seth's age = (6
m - 15) years
(b)
m = 9
Difference in age remains unchanged.
Difference in age between Seth and Eric
= (6
m - 15) -
m = 6
m -
m - 15
= 5
m - 15
= 5 x 9 - 15
= 30 years
Difference in the age when Seth will be 3 times as old as Eric
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so Seth will be 3 times as old as Eric
= 15 - 9
= 6 years
Answer(s): (a) (6
m - 15) years; (b) 6 years
