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There are no such integers.

Proof:

choose any positive whole number x

two consecutive even integers: (2x) (2x+2)

Take the sum (2x)+(2x+2)

(2x)+(2x+2)=340

4x+2=340

4x=338

x=338/4=84.5

Since this is not a whole number, there is no whole number that satisfies the conditions.

(There are two consecutive odd integers which add up to 340: 169 and 171)

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Q: The sum of two consecutive positive even integers is 340 what are the integers?
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