Each of the eight players in a chess team plays 12 games against opponents from other teams.

Question:

Each of the eight players in a chess team plays 12 games against opponents from other teams. The total number of wins, draws and losses for the whole team are denoted by X, Y and Z, respectively.

a. State the value of X + Y + Z.

b. Find the least possible value of Z − X, given that Y = 25.

c. Given that none of the players drew any of their games and that X − Z = 50, find the exact mean number of games won by the players.

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