36 and 38
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The two consecutive, even integers are 350 and 352.
No two consecutive even integers satisfy that request.
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.
The integers are 144 and 145.
The integers are 18 and 20.