Question 185942
Lina's present age = x/3

Anita's present age = x

Lina's age 6 years ago = (x/3) - 6

Then (x/3) - 6 = (x/9)....This equation came from the words "Six years ago, she was 1\9 as old as Anita." 

(x/3) - 6 = (x/9)....We now mutiply both sides of the equation by 9 to remove the fractions.  

Afterward, we get this:

3x - 54 = x

3x - x = 54

2x = 54

x = 27

Anita is 27 years old.  Lina is 1/3 times 27 or 9 years old.