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4

Part of 2016 Lusophon Mathematical Olympiad

Problems(1)

8 football teams, all once, first 4 end with 15 pts,other 4 w N pts,12 draws

Source: Lusophon 2016 CPLP P4

8/29/2018
88 CPLP football teams competed in a championship in which each team played one and only time with each of the other teams. In football, each win is worth 33 points, each draw is worth 11 point and the defeated team does not score. In that championship four teams were in first place with 1515 points and the others four came in second with NN points each. Knowing that there were 1212 draws throughout the championship, determine NN.
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