Mark is
t years old. Seth is five times as old as Mark and Caden is 6 years younger than Seth.
- Express Caden's age in terms of t.
- Mark is 6 years old as of now. ln how many years' time will Caden be 3 times as old as Mark?
(a)
Mark's age =
t years
Seth's age = 5
t years
Caden's age = (5
t - 6) years
(b)
t = 6
Difference in age remains unchanged.
Difference in age between Caden and Mark
= (5
t - 6) -
t = 5
t -
t - 6
= 4
t - 6
= 4 x 6 - 6
= 18 years
Difference in the age when Caden will be 3 times as old as Mark
= 3 u - 1 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of years' time so Caden will be 3 times as old as Mark
= 9 - 6
= 3 years
Answer(s): (a) (5
t - 6) years; (b) 3 years
