Puzzle 81: Uncle Bungle and the vertical tear
15 February 2017
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From New Scientist #1132, 7th December 1978 [link]
It was, I’m afraid, typical of Uncle Bungle that he should have torn up the sheet of paper which gave particulars of the numbers of matches played, won, lost, drawn and so on of four local football teams who were eventually going to play each other once. Not only had he torn it up, but he had also thrown away more than half of it onto, I suspect, the fire, which seems to burn eternally in Uncle Bungle’s grate. The tear was a vertical one and the only things that were left were the “goals against” and the “points” — or rather most of the points, for those of the fourth team had also been torn off.
What was left was as follows:
(2 points are given for a win and 1 for a draw).
It will not surprise those who know my uncle to hear that one of the figures was wrong, but fortunately it was only one out (i.e. one more or one less than the correct figure).
Each side played at least one game, and not more than seven goals were scored in any match.
Calling the teams A, B, C and D in that order, find the score in each match.