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If the question is to find the two consecutive integers then the answer will be like this...

Let one no. be x then the other will definitelty be x+1
Now according to question x + x + 1 = 17
                                   or, 2x = 17-1
                                   or, x = 16/2
                                   or, x = 8

Therefore one no is x or 8 and the other is x+1 or 8+1 or 9...
Thus solved
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Let the two consecutive numbers be x and x + 1
so given x + x +1 = 17
2x = 16
x = 8
and x +1 = 9
so the consecutive numbers whose sum is 17 are 8 and 9 
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