# Remembering Arithmetica!!!

Determine the sum of all possible positive integer values of $$x$$ and $$y$$ in the following Diophantine equation-$54x+21y=906$ Note- Note that the question asks for the sum of only the positive integer values. If there is a common value of $$x$$ and $$y$$ in two solutions then you have to add them separately. For example- Say 1 set of solution is $$a,b$$ and the other is $$b,c$$ then their sum is $$2b+a+c$$. This applies for a common value of $$x,y$$ in a single set of solution.

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