2 [ x + (x+1) ] = 246
x + (x+1) = 123
2x + 1 = 123
2x = 122
x = 61
x+1 = 62
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The set is 81, 82 and 83. There is also a set of consecutive even integers whose sum is 246. That set is 80, 82 and 84.
The sum of two consecutive integers will always be an odd number.
The consecutive integers whose sum is 51 are 16, 17, and 18.
No two consecutive integers have a sum of 2012.
It need not be. 2 and 3 are consecutive integers and their sum is 5, not 31.