document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104442>Question 104442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of the numbers is 12. Two fifths of the greater number is six more than one third of the lesser number. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76022 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In this problem, we are finding two unknowns. So we shall\r<BR>\n" );
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document.write( "Let x=the greater number<BR>\n" );
document.write( "    y=the smaller number\r<BR>\n" );
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document.write( "The difference of the numbers is 12.\r<BR>\n" );
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document.write( "So, x-y=12\r<BR>\n" );
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document.write( "From which, x=y+12\r<BR>\n" );
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document.write( "Two fifths of the greater number is six more than one third of the lesser number\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29%2Ax=%281%2F3%29%2Ay%2B6 ALIGN=MIDDLE  ALT=\"%282%2F5%29%2Ax=%281%2F3%29%2Ay%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To eliminate the fractions, let us multiply both sides by 15.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A%28%282%2F5%29%2Ax%29=15%2A%28%281%2F3%29%2Ay%2B6%29 ALIGN=MIDDLE  ALT=\"15%2A%28%282%2F5%29%2Ax%29=15%2A%28%281%2F3%29%2Ay%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "~~~~~~<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=5y%2B30 ALIGN=MIDDLE  ALT=\"6x=5y%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But, x=y+12, so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A%28y%2B12%29=5y%2B30 ALIGN=MIDDLE  ALT=\"6%2A%28y%2B12%29=5y%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "~~~<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y%2B72=5y%2B30 ALIGN=MIDDLE  ALT=\"6y%2B72=5y%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting 30 both sides,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y%2B42=5y ALIGN=MIDDLE  ALT=\"6y%2B42=5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "~<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B42=0 ALIGN=MIDDLE  ALT=\"y%2B42=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "~~~~<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-42 ALIGN=MIDDLE  ALT=\"y=-42\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Again, x=y+12, so,\r<BR>\n" );
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document.write( "x=y+12<BR>\n" );
document.write( "x=-42+12<BR>\n" );
document.write( "x=-30\r<BR>\n" );
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document.write( "Therefore, the two numbers are -30 and -42! </SPAN>\n" );
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