Howdy gyrocopter-ga,
You will need the free Adobe Acrobat Reader to read the original of the
following. If you do not have it, you can download it from Adobe.
http://www.adobe.com/products/acrobat/readstep2.html
The Florida Institute of Technology web site outlines the solution to this
problem very nicely. I have edited it slightly for legibility below.
http://my.fit.edu/~skoksal/dec/decsol.pdf
Let the four numbers be w, x, y, and z
Let w be equal to or less than x
Let x be equal to or less than y
Let y be equal to or less than z
w + x + y = 180
w + x + z = 197
w + y + z = 208
x + y + z = 222
Adding side by side, we have:
3(w + x + y + z) = 807
Divide both sides by 3 and you get:
w + x + y + z = 269
Since w + x + y + z = 269 and w + x + y = 180
We have z = 269 ? 180 = 89 (the largest number of the four numbers)
If you need need any clarification, feel free to ask.
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