document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=730078>Question 730078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The larger of two numbers is 6 less than twice the smaller number. If their total is 27, find both numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446545 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=446545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The larger of two numbers is 6 less than twice the smaller number. If their total is 27, find both numbers ?\r<BR>\n" );
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document.write( "Let the larger number be x.\r<BR>\n" );
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document.write( "Let the smaller number be y\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "x + y = 27\r<BR>\n" );
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document.write( "y = 27 - x\r<BR>\n" );
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document.write( "x = 2y - 6\r<BR>\n" );
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document.write( "x = 2(27 - x) - 6\r<BR>\n" );
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document.write( "x = 54 - 2x - 6\r<BR>\n" );
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document.write( "54 - 6 = 48\r<BR>\n" );
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document.write( "x = 48 - 2x\r<BR>\n" );
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document.write( "Add 2x to each side of the equation.\r<BR>\n" );
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document.write( "x + 2x = 48 - 2x + 2x\r<BR>\n" );
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document.write( "3x = 48\r<BR>\n" );
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document.write( "x = 16\r<BR>\n" );
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document.write( "y = 27 - 16\r<BR>\n" );
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document.write( "y = 11\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "x = 16 and\r<BR>\n" );
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document.write( "y = 11\r<BR>\n" );
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document.write( "Lennox Obuong<BR>\n" );
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document.write( "Nairobi, Kenya </SPAN>\n" );
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