2 & 124, 4 & 122, 6 & 120, 8 & 118.... etc
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There is no solution. Since 126 is even and two consecutive integers have to be one odd and one even number, an odd and an even number cannot summate to an even number.
The integers are are 41, 42 and 43.
3 consecutive even integers whose sum is 396 are 130, 132 and 134.
The smallest of seven consecutive even integers whose sum is 700 is 94.
The numbers are 62 and 64.