document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=340986>Question 340986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers who sum is 30 so that 5 times the larger number decreased by three times the smaller number is 54.\r<BR>\n" );
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document.write( " Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244206 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=244206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two numbers who sum is 30 so that 5 times the larger number decreased by three times the smaller number is 54<BR>\n" );
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document.write( "Let S=small number<BR>\n" );
document.write( "Let L=large number<BR>\n" );
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document.write( "given<BR>\n" );
document.write( "S+L=30<BR>\n" );
document.write( "5L-3S=54<BR>\n" );
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document.write( "S=30-L  solve for one of the variables<BR>\n" );
document.write( "5L-3(30-L)=54  subtitute into the other equation<BR>\n" );
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document.write( "5L-90+3L=54<BR>\n" );
document.write( "8L-90=54<BR>\n" );
document.write( "8L=144<BR>\n" );
document.write( "L=144/8=18<BR>\n" );
document.write( "==<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28L=18%29 ALIGN=MIDDLE  ALT=\"highlight_red%28L=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28S=30-L=12%29 ALIGN=MIDDLE  ALT=\"highlight_red%28S=30-L=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==<BR>\n" );
document.write( "validate<BR>\n" );
document.write( "5L-3S=54<BR>\n" );
document.write( "5(18)-3(12)=90-36=54 check </SPAN>\n" );
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