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 :