Ira S. answered 12/10/15
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Well, I don;t know what grade you're in or what techniques you know to handle this problem, but Yes, there is only one answer. I'm going to show you with a table.
Since they played 20 games, the wins and losses must add to 20.
Wins losses
20 0
19 1
18 2
17 3
16 4
15 5
14 6
13 7
12 8
11 9
10 10
9 11
I'll stop there. you can see, the only combination that also satisfies that they won 4 more than they lost is 12 W and 8 L.
Hope this helped.