Making a point
I came across this week's football mindbender in the excellent "Penguin Book of Curious and Interesting Puzzles" by David Wells.
To encourage teams to score more goals, a new way of awarding points has been suggested. In the new scheme 10 points are awarded for a win, 5 points for a draw and 1 point for each goal scored, whatever the result of the match. This method has been tried out on a small scale and its success can be judged by the fact that each side scored at least one goal in every match. There were only three sides playing and they will eventually play each other once. At present Rovers have been awarded 8 points, United 14 points and Borough 9 points. What are the scores in the matches that have been played so far?
Click here for the solution.