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Game of Chocolates

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Last vacation, my cousin came over to stay at my home. We made the most of her stay at my place... and I even earned a few chocolates.

Everyday, we would play a game of chess. Whoever lost the game owed a chocolate to the other. After the last game we played (that was the day she was to leave), we counted the number of games each of us had won and lost. Wow! I had won more than her. So, she handed me 13 chocolates... though she herself was the winner in 13 games.

How many days did my cousin spend at my place?

Answer: 39


My cousin won 13 games. Since I got 13 chocolates, I must have won 13 games more than my cousin did. So, I won a total of 26 games.
Thus, the total number of games that we played was 39. Since we played a game each day, that was the number of days my cousin stayed at my house!

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