1992 AHSME Problems/Problem 13

Problem

How many pairs of positive integers (a,b) with $a+b\le 100$ satisfy the equation

$\frac{a+b^{-1}}{a^{-1}+b}=13?$

$\text{(A) } 1\quad \text{(B) } 5\quad \text{(C) } 7\quad \text{(D) } 9\quad \text{(E) } 13$

$\fbox{C}$

1992 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
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