Difference between revisions of "1967 AHSME Problems/Problem 10"

Revision as of 19:50, 10 February 2016

$\fbox{A}$

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-== Problem ==
-If <math>\frac{a}{10^x-1}+\frac{b}{10^x+2}=\frac{2 \cdot 10^x+3}{(10^x-1)(10^x+2)}</math> is an identity for positive rational values of <math>x</math>, then the value of <math>a-b</math> is:
-<math>\textbf{(A)}\ \frac{4}{3} \qquad
-\textbf{(B)}\ \frac{5}{3} \qquad
-\textbf{(C)}\ 2 \qquad
-\textbf{(D)}\ \frac{11}{4} \qquad
-\textbf{(E)}\ 3</math>
 == Solution ==
 <math>\fbox{A}</math>