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The sum of two consecutive integers is 151. What are the integers?

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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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