let one number be x
let the next consecutive number be x + 1
x + (x + 1) = 68
x + x + 1 = 68
2x + 1 = 68
2x = 67
x = 33.5 so x + 1 = 34.5
33.5 + 34.5 = 68
33.5 and 34.5 are not integers
note: 33 + 34 = 67 and 34 + 35 = 69
there is not 2 consecutive integers that add to 68
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