Question 24439
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


{{{(3 x 40)/4}}} = 30


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