SOLUTION: Are there two consecutive even integers the sum of whose reciprocal is 8/45? If your answer is yes, find them. If your answer is no, prove it.

Question 1170785: Are there two consecutive even integers the sum of whose reciprocal is 8/45? If your answer is yes, find them. If your answer is no, prove it.
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
If the reciprocal of the sum is 8/45, this means the sum was 45/8. 45/8 is not an integer, and it's impossible that the sum of two even integers (or ANY two integers) could equal anything but another integer.
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