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Quiz for Today(9/3/2015 1)

Mr. Lavin told his students to pick a 3 digit number, sum the individual digits up, and subtract that sum by the original 3 digit number. Mr. Lavin told the students to give him only 2 digits of the subtracted result, and he can tell the students what the third digit is. How did he figure this out? What was the basic theory behind this?