Answer:
12 years younger.
Step-by-step explanation:
Let Jan's age be J and Karyn's age be K.
[tex]J= \frac{2}{3} K[/tex]
Jan's age 8 years ago is 2/5 of Karyn's age 4 yeaRs from now.
[tex]J-8 = \frac{2}{5} (K+4)[/tex]
=> [tex](\frac{2}{3} - \frac{2}{5} ) K = \frac{8}{5} + 8[/tex]
=> 4K = 48 X 3
=> K= 36.
=> J= 24.
So Jan is 12 years younger.
