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