Sunday Times Teaser 2567 – A Close Thing
Published: 4 December 2011 (link)
Our football league consists of five teams, each playing each other once, earning three points for a win, one for a draw. Last season was close. At the end, all five teams had tied on points and on “goal difference”. So the championship was decided on “goals scored”, which, for the five teams, consisted of five consecutive numbers. The scores in the games were all different, including a no-score draw, and no team scored more than five goals in any game.
How many goals did the league champions score in total?