Answer :

Consecutive integers are represented as x and x + 1. Implementing these into the equation x + (x + 1) = 172 for solving yields no solution, meaning there are no two consecutive integers that sum up to 172.

To find two consecutive integers that sum to 172, you first need to understand that consecutive integers can be represented as x (an integer) and x + 1 (the next integer). As these should add up to 172, you formulate the equation x + (x + 1) = 172. Simplifying this equation gives 2x + 1 = 172. By subtracting 1 from both sides, you get 2x = 171. Finally, dividing both sides by 2 yields x = 85.5. However, since x should be an integer, it results that there are no two consecutive integers that sum up to 172.

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