Difference between revisions of "2010 AMC 10B Problems/Problem 13"

Revision as of 20:02, 24 January 2011

What is the sum of all the solutions of $x = \left|2x-|60-2x|\right|$ ?

$\mathrm{(A)}\ 32 \qquad \mathrm{(B)}\ 60 \qquad \mathrm{(C)}\ 92 \qquad \mathrm{(D)}\ 120 \qquad \mathrm{(E)}\ 124$

$Case 1: 2x-|60-2x|=x$

Revision as of 20:02, 24 January 2011 (view source) Jexmudder (talk \| contribs) (Created page with '== Problem == What is the sum of all the solutions of <math>x = \left\|2x-\|60-2x\|\right\|</math>? <math> \mathrm{(A)}\ 32 \qquad \mathrm{(B)}\ 60 \qquad \mathrm{(C)}\ 92 \qquad \m…')		Revision as of 20:02, 24 January 2011 (view source) Jexmudder (talk \| contribs) (→‎Solution) Newer edit →
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	== Solution ==		== Solution ==
−	$Case 1: 2x-\|60-2x\|=x	+	<math>Case 1: 2x-\|60-2x\|=x</math>