Enigma 1677: Six of one
14 December 2011
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From New Scientist #2843, 17th December 2011 [link]
Albion, Borough, City, Rangers and United have played a tournament in which each team played each of the other teams once. Two points were awarded for a win and one for a draw. In the final table the teams finished in alphabetical order, Albion with most points and United with fewest, no two teams having the same number of points. There was only one instance of two matches having the same score. No team scored more than 4 goals in any one match. In the course of the tournament each team scored 6 goals and conceded 6 goals.
Borough beat Albion 3-0. What were the scores in (a) Borough vs City and (b) Rangers vs United?