Difference between revisions of "1967 AHSME Problems/Problem 10"
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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> | ||
| + | |||
| + | == See also == | ||
| + | {{AHSME 40p box|year=1967|num-b=9|num-a=11}} | ||
| + | |||
| + | [[Category:Introductory Algebra Problems]] | ||
| + | {{MAA Notice}} | ||
Revision as of 00:42, 16 August 2023
Problem
If 
is an identity for positive rational values of 
, then the value of 
is:
Solution
See also
| 1967 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
