1992 AHSME Problems/Problem 13

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Problem

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

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

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

Solution

$\fbox{C}$

See also

1992 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

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