Astudent playing a computer chess game gets 5 points every time he wins a round. the computer gets 3 points every time it wins a round. they play 64 rounds and end with a tied score. how many rounds did the computer win?

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.