Number Puzzles IV: A New Hope

Use nested for loops to find four positive integers whose sum is 45, and such that the first plus 2, the second minus 2, the third multiplied by 2, and the fourth divided by 2 are all equal.

Please note that these four numbers are integers, and not necessarily just digits. In this problem, we are no longer finding a single four-digit number; we are finding four separate numbers. However, since we are trying to generate all possible combinations, the procedure should be the same.

For those of you having trouble with the English on this one (I've noticed that students really don't like word problems), here's what that means.

The following mathematical statments are also true about these numbers:

and



©2013 Graham Mitchell

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