SOLUTION: Mike's age is three-fourths of Mary's age. In 5 years Mike's age will be 7/9 Mary's age. How old is Mike now?

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Question 24439: Mike's age is three-fourths of Mary's age. In 5 years Mike's age will be 7/9 Mary's age. How old is Mike now?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
mike's age = 3x/4
Mary's age = x

In five years mike's age = 3x/4+5
Mary's age in five years = 7/9(x+5)

7/9(x+5) = 3x/4+5
7x+35/9=3x/4+5 -> commom denomenator = 36
36(7x+35/9=3x/4+5)--> simplify
28x+140=27x+180 --> simplify
x = 40

%283+x+40%29%2F4 = 30

Hence Mary's age is 40, and Mike's age is 30.
Paul.