View source for 1967 AHSME Problems/Problem 10

== 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>

== See also ==
{{AHSME 40p box|year=1967|num-b=9|num-a=11}}  

[[Category:Introductory Algebra Problems]]
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