Difference between revisions of "1994 AHSME Problems/Problem 10"
(Created page with "==Problem== For distinct real numbers <math>x</math> and <math>y</math>, let <math>M(x,y)</math> be the larger of <math>x</math> and <math>y</math> and let <math>m(x,y)</math> be...") |
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<math> \textbf{(A)}\ a \qquad\textbf{(B)}\ b \qquad\textbf{(C)}\ c \qquad\textbf{(D)}\ d \qquad\textbf{(E)}\ e </math> | <math> \textbf{(A)}\ a \qquad\textbf{(B)}\ b \qquad\textbf{(C)}\ c \qquad\textbf{(D)}\ d \qquad\textbf{(E)}\ e </math> | ||
==Solution== | ==Solution== | ||
+ | We work thorough the equation step by step, simplifying as follows: | ||
+ | |||
+ | <cmath> | ||
+ | |||
+ | --Solution by [http://www.artofproblemsolving.com/Forum/memberlist.php?mode=viewprofile&u=200685 TheMaskedMagician] |
Revision as of 18:03, 28 June 2014
Problem
For distinct real numbers and
, let
be the larger of
and
and let
be the smaller of
and
. If
, then
Solution
We work thorough the equation step by step, simplifying as follows:
--Solution by TheMaskedMagician