Ethan is
g years old. Bobby is five times as old as Ethan and Simon is 14 years younger than Bobby.
- Express Simon's age in terms of g.
- Ethan is 9 years old as of now. ln how many years' time will Simon be 3 times as old as Ethan?
(a)
Ethan's age =
g years
Bobby's age = 5
g years
Simon's age = (5
g - 14) years
(b)
g = 9
Difference in age remains unchanged.
Difference in age between Simon and Ethan
= (5
g - 14) -
g = 5
g -
g - 14
= 4
g - 14
= 4 x 9 - 14
= 22 years
Difference in the age when Simon will be 3 times as old as Ethan
= 3 u - 1 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of years' time so Simon will be 3 times as old as Ethan
= 11 - 9
= 2 years
Answer(s): (a) (5
g - 14) years; (b) 2 years
