My approach isn't very mathematical, I'm sure there is a better approach but here's mine. Some mathematical principle but most trial and error.

You want to find a common multiple. If Steve's score is , then this meant that he lost on more occasion that won.

The common multiple of and are:

etc.

At which value would the alternative pair add upto . This would be because:

The alternative pair and add to make .

This means, Steve lost times and won times.