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

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Emma Singleton · Accepted Answer

Two integers can only add to become another integer. The greatest integer less than 83 is 82.However, you can&#039;t have two consecutive integers adding up to give an even number, so we&#039;re going to have to pick the greatest odd number that&#039;s smaller than 83, which is of course 81.So we are looking for two consecutive integers that add up to 81. We are looking for a number a and the number after it a+1.To do this, we can add them and set them equal to 83.a+(a+1)=832a=82a=41(a+1)=4241+42=83And that is good information, by we are looking for the biggest odd number that&#039;s smaller than 83 so we can subtract 1 from both numbers.(a−1)=40a=4140+41=81

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

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