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Algebraically.
X + (X + 1) + (X + 2) = 288
3X + 3 = 288
3X = 285
X = 95
X + 1 = 96
X + 2 = 97
95 + 96 + 97 = 288
---------------------------------so
(95, 96, 97 )
-----------------the three consecutive numbers
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