Enigma 346: Alphabetical goals
From New Scientist #1495, 13th February 1986 [link]
Five football teams, A, B, C, D and E, are to play each other once. After some of the games had been played a table was drawn up giving some details of the matches played, won, lost etc.
Unfortunately, the digits had been replaced by letters. Each letter stood for the same digit (from 0 to 9) wherever it appeared, and different letters stood from different digits.
The table looked like this:
(Two points are given for a win and one point to each side in a drawn match).
Find the score in each match.