None exist. 100 is an even number and two consecutive integers can only add up to an odd number. This is because only 2 evens can add up to an even number and no two even numbers are consecutive. (or two odds, but no two odd numbers are consecutive either)
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Two consecutive even integers will be one more and one less than the quotient of their sum divided by 2. The given sum of the two consecutive integers divided by 2 is 25, so the two consecutive integers are 24 and 26.
-13, -12
The two consecutive integers that have a sum of -105 are -53 and -52.
The two consecutive integers whose sum is 73 are 36 and 37.
The two consecutive, even integers are 350 and 352.