The numbers are 97, and 99.
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97 and 99
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.
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.
43 is the sum of the two consecutive integers 21 and 22.
The numbers are 55, and 57. Two consecutive integers have an odd sum.