Ivan is
t years old. Julian is five times as old as Ivan and Seth is 4 years younger than Julian.
- Express Seth's age in terms of t.
- Ivan is 9 years old as of now. ln how many years' time will Seth be 3 times as old as Ivan?
(a)
Ivan's age =
t years
Julian's age = 5
t years
Seth's age = (5
t - 4) years
(b)
t = 9
Difference in age remains unchanged.
Difference in age between Seth and Ivan
= (5
t - 4) -
t = 5
t -
t - 4
= 4
t - 4
= 4 x 9 - 4
= 32 years
Difference in the age when Seth will be 3 times as old as Ivan
= 3 u - 1 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
Number of years' time so Seth will be 3 times as old as Ivan
= 16 - 9
= 7 years
Answer(s): (a) (5
t - 4) years; (b) 7 years