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A test was conducted in three sections X, Y and Z of tenth class. The average marks per student of sections X and Y together is 66. The average marks per student of sections Y and Z together is 63. The average marks per student of sections Z and X together is 67. The average marks per student of the three sections together is A. Find the number of integral values that A can take.

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A test was conducted in three sections X, Y and Z of tenth class. The average marks per student of sections X and Y together is 66. The average marks per student of sections Y and Z together is 63. The average marks per student of sections Z and X together is 67. The average marks per student of the three sections together is A. Find the number of integral values that A can take.