Math Problem : HH.16 Tournament games of soccer in 7 teams

The competition of soccer was held in 7 teams.

The game was held by the round-robin tournament (game system which every team matches one game with every other 6 teams).

When winning in each game, the team is given two points, when losing, given zero point and when drawing, given one points.

These points are called winning points in the standings.

When all the games were finished, the sum total of winning points in the standings of each team other than A team became as it is shown in the table.

Answer each of following questions at this time.

(1) Find all the numbers of games.

(2) Find the sum total of the winning point in the standings of A team.

(3) Find the number of victory, defeat and draw of A team.








Answer
(1) 21 games
(2) 5
(3) 2 wins 3 losses 1 draw