Number Theory or Algebra?

Given three positive integers a,b,a, b, and c,c,

  • Peter computes a+bca+\frac{b}{c} and gets an integer answer of 101;
  • Paul computes ac+b\frac{a}{c}+ b and gets another integer answer of 68;
  • Mary computes a+bc\frac{a+b}{c} and gets the answer __________.\text{\_\_\_\_\_\_\_\_\_\_}.

Fill in the blank.


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