Indeteminate Equation

Algebra Level 2

Find the sum x + y + z x+y+z given that there exists only one solution of the following equation 9 x + 97 y + 837 z = 2015 9x+97y+837z=2015

Note

  • x , y x, y and z z are positive integers .
  • This problem is a part of the set 1+2=3


The answer is 83.

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