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What is the sum of two consecutive integers is less than 83. Find the pair of integers with the greatest sum

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Well, the sum has to be less than 83. Do you think maybe it could be 82 ? ?
Sadly, it couldn't be 82. If two integers are consecutive, then one is even and
one is odd, and their sum is always odd. So the greatest sum less than 83
is going to be 81 .

Since the integers are consecutive, both of them have to be right around
half of 81 . Half of 81 is (40 and 1/2), so let's try 40 and 41 :

40 + 41 = 81 That's it ! yay!

User Abanoub Istfanous
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