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let the number of sophomores be X
juniors are = x + 6
seniors are = 3x-8
x+ x+6 + 3x-8 = 103
x+x+3x+6-8 = 103
5x -2 = 103
5x= 103 + 2
number of sophomores = 21
number of juniors = 21 +6 = 27
number of seniors = 3*21 -8 = 55
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