The sum of three consecutive integers is 63. What is the value of the largest integer?

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Create an equation that describes the situation. If x represents the first integer, x + 1 represents the second integer, and x + 2 represents the third integer. The sum of the integers is x + x + 1 + x + 2 = 3x + 3. Set this expression equal to the sum of the integers, 63, and solve for x: 3x + 3 = 63, 3x = 60, x = 20. Since x is the first integer, 21 is the second integer, and 22 is the third (and largest) integer.

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