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Same goal average

Albion, Borough, City, Rangers and United have played in a soccer tournament in which each team played each of the others once. No two matches in the tournament had the same score, and no team scored more than three goals in any match. Albion drew against Borough; both of these teams won their other three matches.

Over the whole tournament Albion and Borough had the same goal average (calculated by dividing goals scored by goals conceded) but Albion had the better goal difference (goals scored minus goals conceded).

What were the scores in Albion’s four matches? Give each score in the form x–y, with Albion’s score first in each match.

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 1 June. The Editor’s decision is final. Please send entries to Enigma 1644, New Å®ÉúСÊÓƵ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1638 Same five digits: 12321, 33124, 34225

The winner Jackie Willmington of Aberystwyth, UK