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the sum of three consecutive number is 87, what is the largest
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The 3 integers are n, n+1, and n+2. Adding these numbers gives 3n+3 = 87. This simplifies to 3n = 84. Divide both sides by three to get n = 28. This is the smallest of the three integers. Thus, the 3 integers are 28, 29, and 30. 30 is the largest. To check your work, add these three integers and see that the sum is in fact 87.
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