Question

Nine years ago, Kimo was twice as old as Jennifer was then. In four years, Jennifer will be the same age that Kimo is now? How old is each of them now?

Answer 1

Answer:Kimo is 17 years old and Jennifer is 13 years old.

Explanation:

Let x represent Kimo's current age.

Let y represent Jennifer's current age.

Nine years ago, Kimo was twice as old as Jennifer was then. It means that

x - 9 = 2(y - 9)

x - 9 = 2y - 18

x = 2y - 18 + 9 = 2y - 9

In four years, Jennifer will be the same age that Kimo is now. It means that

x = y + 4 - - - - - - - - - 1

Substituting x = 2y - 9 into equation 1, it becomes

2y - 9 = y + 4

2y - y = 4 + 9

y = 13

x = 2y - 9 = 2 × 13 - 9

x = 17