Sam is
j years old. Wesley is six times as old as Sam and Tom is 5 years younger than Wesley.
- Express Tom's age in terms of j.
- Sam is 5 years old as of now. ln how many years' time will Tom be 3 times as old as Sam?
(a)
Sam's age =
j years
Wesley's age = 6
j years
Tom's age = (6
j - 5) years
(b)
j = 5
Difference in age remains unchanged.
Difference in age between Tom and Sam
= (6
j - 5) -
j = 6
j -
j - 5
= 5
j - 5
= 5 x 5 - 5
= 20 years
Difference in the age when Tom will be 3 times as old as Sam
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of years' time so Tom will be 3 times as old as Sam
= 10 - 5
= 5 years
Answer(s): (a) (6
j - 5) years; (b) 5 years