Sam is
e years old. Ben is five times as old as Sam and David is 10 years younger than Ben.
- Express David's age in terms of e.
- Sam is 8 years old as of now. ln how many years' time will David be 3 times as old as Sam?
(a)
Sam's age =
e years
Ben's age = 5
e years
David's age = (5
e - 10) years
(b)
e = 8
Difference in age remains unchanged.
Difference in age between David and Sam
= (5
e - 10) -
e = 5
e -
e - 10
= 4
e - 10
= 4 x 8 - 10
= 22 years
Difference in the age when David will be 3 times as old as Sam
= 3 u - 1 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of years' time so David will be 3 times as old as Sam
= 11 - 8
= 3 years
Answer(s): (a) (5
e - 10) years; (b) 3 years
