Oliver is
f years old. Ethan is six times as old as Oliver and Jenson is 6 years younger than Ethan.
- Express Jenson's age in terms of f.
- Oliver is 10 years old as of now. ln how many years' time will Jenson be 3 times as old as Oliver?
(a)
Oliver's age =
f years
Ethan's age = 6
f years
Jenson's age = (6
f - 6) years
(b)
f = 10
Difference in age remains unchanged.
Difference in age between Jenson and Oliver
= (6
f - 6) -
f = 6
f -
f - 6
= 5
f - 6
= 5 x 10 - 6
= 44 years
Difference in the age when Jenson will be 3 times as old as Oliver
= 3 u - 1 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Number of years' time so Jenson will be 3 times as old as Oliver
= 22 - 10
= 12 years
Answer(s): (a) (6
f - 6) years; (b) 12 years
