FERMAT 2017 Problem 18

For any positive real number x, bxc denotes the largest integer less than or equal to x. For example, [4.2]= 4 and [3] = 3. If [x]\cdot x = 36 and [y]\cdot y = 71 where x, y > 0, then x + y equals

Answer Choices
A. \frac{107}{8}
B. \frac{119}{8}
C. \frac{125}{9}
D. \frac{107}{6}
E. \frac{101}{7}