Final answer:
The consecutive integers that add up to 151 are 75 and 76.
Step-by-step explanation:
Let's call the first integer x. Since the second integer is consecutive, we can represent it as x + 1. The problem states that the sum of these two integers is 151, so we can set up the equation x + (x + 1) = 151. Solving this equation:
2x + 1 = 151
2x = 151 - 1 = 150
2x = 150
x = 150/2 = 75
So the first integer is 75, and the second integer is 76. Therefore, the consecutive integers that add up to 151 are 75 and 76.
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