I came across this week's football mindbender in the excellent "Penguin Book of Curious and Interesting Puzzles" by David Wells.
The greatest number of points that could have been obtained from wins or draws alone are Rovers - 5, United - 10, Borough - 5, so only two matches have been played so far (not one as in that case one of the teams would have 0 points). Suppose that United drew two matches against Rovers and Borough. Then United's total of goals should equal Rovers + Boroughs total, but in this case United's goals total would be 4, and Rovers would be 3 and Borough's 4. Therefore Rovers vs Borough was a draw and United won one game. Either Rovers or Borough has played only one game, and since Rovers got 3 goals and Borough got 4 then Borough vs Rovers must have been a 3-3 draw and Borough scored 1 goal against United. Therefore United beat Borough 4-1.
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