document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249095>Question 249095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is 6 less than another. Three times the smaller is 12 more than twice the larger. Find the numbers.\r<BR>\n" );
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document.write( "            Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181483 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=181483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is 6 less than another. Three times the smaller is 12 more than twice the larger. Find the numbers. <BR>\n" );
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document.write( "Let the larger number be \"x\":<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "y = x-6<BR>\n" );
document.write( "3y = 2x+12<BR>\n" );
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document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
document.write( "3(x-6) = 2x+12<BR>\n" );
document.write( "3x-18 = 2x+12<BR>\n" );
document.write( "x = 30 (larger number)<BR>\n" );
document.write( "y = x-6 = 24 (smaller number)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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