Find a positive integer solution to 4024x + 4178y + 4609z = 3757057.
Yes, this is a not-so-interesting question if you have a computer and you know how to write a programme (just do some brute-force calculation).
Also, if you requires an integer solution (so you may have non-positive integers as x, y or z), it is still easy to do it by hand quickly. (Do you know how?)
However, assume what you have is a sheet of paper and a pen, can you find a positive solution in ten minutes?
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