Answer :

Final answer:

The consecutive integers that sum to 143 are 71 and 72. The problem was solved by setting up and simplifying an equation representing the sum of the consecutive integers.

Explanation:

This question is a typical example of a set of consecutive integers, which are integers that follow each other in order. In this case, the two integers sum up to 143. We can represent these two integers as 'x' and '(x+1)'. Therefore, if the sum of two consecutive integers is 143, we simply set up an equation as follows: x + (x+1) = 143. By simplifying this equation, it becomes: 2x + 1 = 143. Solve for x by subtracting 1 from both sides (2x = 142) and dividing by 2, we get x = 71. Therefore, the two consecutive integers are 71 and 72.

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