Mark is
k years old. Charlie is six times as old as Mark and Tom is 5 years younger than Charlie.
- Express Tom's age in terms of k.
- Mark is 3 years old as of now. ln how many years' time will Tom be 3 times as old as Mark?
(a)
Mark's age =
k years
Charlie's age = 6
k years
Tom's age = (6
k - 5) years
(b)
k = 3
Difference in age remains unchanged.
Difference in age between Tom and Mark
= (6
k - 5) -
k = 6
k -
k - 5
= 5
k - 5
= 5 x 3 - 5
= 10 years
Difference in the age when Tom will be 3 times as old as Mark
= 3 u - 1 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Number of years' time so Tom will be 3 times as old as Mark
= 5 - 3
= 2 years
Answer(s): (a) (6
k - 5) years; (b) 2 years
