Difference between revisions of "2015 AMC 12A Problems/Problem 10"
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Revision as of 21:44, 4 February 2015
Problem
Integers and with satisfy . What is ?
$\textbf{(A)}\ 8 \qquad\textbf{(B)}\ 10 \qquad\textbf{(C)}\ 15 \qquad\textbf{(D)}}\ 18 \qquad\textbf{(E)}\ 26$ (Error compiling LaTeX. Unknown error_msg)
Solution
Use SFFT to get . The terms and must be factors of , which include . Because , is equal to or . But if , then and so .
See Also
2015 AMC 12A (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 | |
All AMC 12 Problems and Solutions |