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The left and right page numbers of an open book are two consecutive integers whose sum is 443. Find these page numbers.

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Final answer:

To find the left and right page numbers of the open book, solve the equation x + (x+1) = 443

Step-by-step explanation:

To find the left and right page numbers of the open book, we need to solve the equation that represents the sum of these consecutive integers. Let's assume that the left page number is x. According to the problem, the right page number is x+1. We can set up the equation as follows:

x + (x+1) = 443

Combining like terms, we have:

2x + 1 = 443

Subtracting 1 from both sides gives us:

2x = 442

Dividing both sides by 2, we get:

x = 221

Therefore, the left page number is 221 and the right page number is 221+1=222.

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