SOLUTION: Find three consecutive internees such that twice the largest is two less than three times the smallest.

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Question 1052452: Find three consecutive internees such that twice the largest is two less than three times the smallest.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How are the "internees" consecutive? Were they hired in order, or are they arranged by height?


Three consecutive INTEGERS:
system%28n%2C+n%2B1%2C+n%2B2%29 for any integer n.


The description put into an equation:
2%28n%2B2%29=-2%2B3%2An

Solve for n.
2n%2B4=3n-2
2n-3n=-2-4
-n=-6
highlight%28n=6%29, which is also the first INTEGER.

The next integers are system%287%2Cand%2C8%29.