My confusion with this question comes from the explanation given (Kaplan Math Workbook
They state that we can set up the problem as follows:
x + (x+1) + (x+2) = 312 = 3x + 3
therefore, the next three integers would be:
(x+3) + (x+4) + (x+5) = 3x + 12.
12 is 9 greater than 3 from the previous equation so:
3x + 12 = 312 + 9, or 321.
However, what dictates that the consecutive integers have to be single digit increments. Doesn't consecutive integers also include 2,4,6 and 3,6,9? That would change the whole answer. What am I missing?
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