Enigma 1693: Inseparable
11 April 2012
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From New Scientist #2860, 14th April 2012 [link]
Albion, Borough, City, Rangers and United have staged a tournament in which each team played each of the others once. No two matches had the same score, and no team scored more than three goals in any match. Each played two home and two away fixtures.
Albion drew against Borough; both won their other three matches. Albion scored the same number of goals at home as Borough, and conceded the same number of goals at home as Borough. Albion also scored the same number of goals away as Borough scored away, and conceded the same number of goals away as Borough.
If I told you how many goals Albion and Borough each scored at home you could deduce with certainty the score in the fixture between Albion and Borough.
Tell me what the score was in that match.