SOLUTION: Nine Years ago, Frank was half as old as Marilyn. Now his age is two thirds her age. Find their ages now. WITH WORK PLEASE

Let F be the Frank's present age, M be the Marilyn's present age.

9 years ago Frank was (F-9) years old, while Marilyn was (M-9) years old.

The condition says 

F - 9 = .   (1)     ("Nine Years ago, Frank was half as old as Marilyn")

Now his age is two thirds her age:

F = .           (2)

Substitute (2) into equation (1) replacing F. You will get

 = .

You have a single equation for single unknown M. To solve it, multiply both sides by 6 to rid of denominators. You will get

4M - 54 = 3*(M-9),

4M - 54 = 3M - 27,

4M - 3M = -27 + 54,

M = 27.

So, we found Marilyn present age is 27 years.

Then from (2) Franklin 18 =  years old.