2010 AMC 10B Problems/Problem 13: Difference between revisions

Revision as of 20:03, 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) 64 edits →Solution ← Older edit		Revision as of 20:03, 24 January 2011 view source Jexmudder (talk \| contribs) 64 edits No edit summary Newer edit →
Line 15:		Line 15:

	== Solution ==		== Solution ==
	<math>~~Case 1:~~ 2x-\|60-2x\|=x</math>		'''Case 1''': <math>2x-\|60-2x\|=x</math>