Choose any integer. Let's call it "n". Then subtract 8 - n, to get the other integer. (For the two integers to have different signs, one of the integers must be greater than 8, the other will be negative.)
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There are no two consecutive integers that sum to 58. With two consecutive integers, one is even, the other is odd. The sum of an even number and an odd number is odd. 58 is even so cannot be the sum of two consecutive integers.
-- write the difference between the integers without regard to their signs -- give the difference the same sign as the larger of the two integers
1 and -26 is one possible answer.
Two consecutive integers will be 0.5 more and 0.5 less than the quotient of their sum divided by 2. The given sum of the two consecutive integers divided by 2 is -3471.5, so the two consecutive integers are -3472 and -3471.
The integers are 26 and 27.