Remembering Arithmetica!!!

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


The answer is 87.

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