How many pairs of positive integers (a, b) are there such that \operatorname{gcd}(a, b)=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 \operatorname{gcd}(a, b)=1 and
is an integer?
Answer Choices
A. 4
B. 6
C. 9
D. 12
E. infinitely many