This week's problem's solution is actually easier to state than the problem itself. That isn't to say that it's easier to arrive at, though! There is not a whole lot of theory involved at reaching the solution, only a few clever insights. Of course one could use combinatoric to explore every conceivable combination of the 4 numbers to arrive at a solution, but even in this instance, it would be just trial and error.
Drum roll, please...The solution is:
We hope that you enjoyed this problem! We have problems like this up every Monday; just check out the Center of Math Twitter.