NUMERIC RESPONSE
There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. The number of participants is
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(13) Let there be
men participants. Then the number of games that the men play between themselves is
and the number of games that the men played with the women is
.
[By hypothesis]

Number of participants
men +2 women
.
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