# Number Theory or Algebra?

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

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

Fill in the blank.

×