document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=659089>Question 659089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two numbers is 11. Twice the smaller number plus three times the larger number 123. What are these numbers ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #410672 by </B><A HREF=/tutors/aboutme.mpl?userid=nicy12><B>nicy12(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nicy12><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=410672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The difference between two numbers is 11. Twice the smaller number plus three times the larger number 123. What are these numbers ? \"\r<BR>\n" );
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document.write( "let:\r<BR>\n" );
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document.write( "x=larger number<BR>\n" );
document.write( "y=smaller number<BR>\n" );
document.write( "x-y=1  (equation  1)<BR>\n" );
document.write( "2y+3x=123  (equation 2)\r<BR>\n" );
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document.write( "solve for 'y':\r<BR>\n" );
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document.write( "x-y=1\r<BR>\n" );
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document.write( "x=y+1\r<BR>\n" );
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document.write( "substitute the x to equation 2 to get the value of 'y'\r<BR>\n" );
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document.write( "2y+3x=123\r<BR>\n" );
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document.write( "2y+3(y+1)=123\r<BR>\n" );
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document.write( "2y+3y+3=123\r<BR>\n" );
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document.write( "5y+3=123\r<BR>\n" );
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document.write( "y=24\r<BR>\n" );
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document.write( "substitute the value of  'y'  in  equation 1 to get the value  of 'x' .\r<BR>\n" );
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document.write( "x-y=1\r<BR>\n" );
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document.write( "x-24=1\r<BR>\n" );
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document.write( "x=25\r<BR>\n" );
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document.write( "checking:  \r<BR>\n" );
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document.write( "x-y=1\r<BR>\n" );
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document.write( "25-24=1 (correct)\r<BR>\n" );
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document.write( "2y+3x=123\r<BR>\n" );
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document.write( "2(24)+3(25)=123\r<BR>\n" );
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document.write( "48+75=123 (correct)\r<BR>\n" );
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document.write( "i hope it  helped you :)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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