[SOLVED] Finding the sum of two unknown variables
The question is to find the sum of the unknown variables. Now, the variables have to be integers, and as you can see from the easy example I made, the sum could be
Of course, this is not the only solution. Try the following:
I suspect that there are even more integer solutions to this equation. My method for finding the values is the old simple bruteforce "technique", where I divide 4323 by highest coefficient and that's where I get a headstart. You can of course find out the pattern, but these "cooked" equations are no good for learning.
My question is: is there a logical process of solving for ? Other than bruteforce, of course. I asked my teacher today, and he just said "that's number theory." I looked up number theory, but I was kind of lost.
These type of questions are pretty common on the SAT I tests, and I love them. My brother and I used to exchange multivariable equations like that and try to find the sum all the time.