Archie is
q years old. Japheth is five times as old as Archie and Seth is 4 years younger than Japheth.
- Express Seth's age in terms of q.
- Archie is 10 years old as of now. ln how many years' time will Seth be 4 times as old as Archie?
(a)
Archie's age =
q years
Japheth's age = 5
q years
Seth's age = (5
q - 4) years
(b)
q = 10
Difference in age remains unchanged.
Difference in age between Seth and Archie
= (5
q - 4) -
q = 5
q -
q - 4
= 4
q - 4
= 4 x 10 - 4
= 36 years
Difference in the age when Seth will be 4 times as old as Archie
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Seth will be 4 times as old as Archie
= 12 - 10
= 2 years
Answer(s): (a) (5
q - 4) years; (b) 2 years
