Question

Jan is 2/3 of Karyn's age. Jan's age 8 years ago is 2/5 of Katyn's age 4 yeats from now. Jan is how many younger than Karyn?

Answer 1

12 years younger.

Explanation:

Let Jan's age be J and Karyn's age be K.

`J= (2)/(3)  K`

Jan's age 8 years ago is 2/5 of Karyn's age 4 yeaRs from now.

`J-8 = (2)/(5) (K+4)`

=>
`((2)/(3) - (2)/(5) ) K = (8)/(5) + 8`

=> 4K = 48 X 3

=> K= 36.

=> J= 24.

So Jan is 12 years younger.