You can put this solution on YOUR website! If you have two consecutive integers and the first one is x, then the second one has to be x + 1. So "the sum of two consecutive integers is less than 75" translates to:
In order for x to be less than 37 and still be an integer, the most it could be is 36. So your two consecutive integers are 36 and 37, and their sum is 73.
Check:
What if the integers were 37 and 38? Then the sum would be 75, and since 75 is NOT less than 75, 36 and 37 are the pair of integers with the greatest sum less than 75.
