Because an integer is a whole number and the sum of any two or more whole numbers is always a whole number.
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No. The answer depends on the context in terms of which the numbers are considered to be opposite.
The two integers are 6 and 7.
Another, higher positive integer.
29 cannot be the sum of two odd integers. The sum of two odd integers is always an even integer.
No two consecutive EVEN integers sum to 124 since: Let x be the lowest of the two integers. Then the other integer is x+2 and x + (x+2) = 124 iff 2x = 122 iff x=61, an odd integer.