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Challenge 38: A New Season

Can you work out how many matches Chelchestpool FC drew last season?

In my town there are two football leagues, containing a total of 39 teams between them.

During a season, every  team plays one match against each of the other teams in the same league. Teams are awarded 3 points for a win, 1 point for a draw and no points for a loss.

Last year there were 171 more matches played in one league than the other. Chelchestpool FC lost just 3 matches all season and ended up with a total of 32 points. 

How many matches did Chelchestpool FC draw?