How many pairs of positive integers (a, b) are there such that a and b have no common factors greater than 1 and

\dfrac{a}{b}+\dfrac{14 b}{9 a}

is an integer?

**Answer Choices**

A. 4

B. 6

C. 9

D. 12

E. infinitely many

How many pairs of positive integers (a, b) are there such that a and b have no common factors greater than 1 and

\dfrac{a}{b}+\dfrac{14 b}{9 a}

is an integer?

**Answer Choices**

A. 4

B. 6

C. 9

D. 12

E. infinitely many