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Problem Solving (PS) | Re: The sum of three consecutive integers is 312. What is the

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Robiou wrote:

The sum of three consecutive integers is 312. What is the sum of the next three consecutive integers?

A) 315
B) 321
C) 330
D) 415
E) 424


We can create the following equation:

x + x + 1 + x + 2 = 312

3x + 3 = 312

3x = 309

x = 103

So, the sum of the next three integers is 106 + 107 + 108 = 321.

Alternate Solution:

If the sum of x, x + 1, and x + 2 is 312, then the sum of x + 3, x + 4, and x + 5 will be 9 more than 312, since each integer in the second list is 3 more than the corresponding
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