document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81470>Question 81470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 23.twice the larger number is 4 more than 4 times the smaller.what are 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 #58322 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "the sum of two numbers is 23.twice the larger number is 4 more than 4 times the smaller.what are the numbers?\r<BR>\n" );
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document.write( "ANSWERS:\r<BR>\n" );
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document.write( "Assume that the larger number is 'x' and the smaller number is 'y'\r<BR>\n" );
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document.write( "Given that their sum is = 23\r<BR>\n" );
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document.write( "==> x + y = 23  --------------------(1)\r<BR>\n" );
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document.write( "Twice the largerr number cam be expressed as '2x'\r<BR>\n" );
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document.write( "four times the smaller number can be expressed as, '4x'\r<BR>\n" );
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document.write( "twice the larger number is 4 more than 4 times the smaller can be expressed as,\r<BR>\n" );
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document.write( "==>  2x = 4y + 4\r<BR>\n" );
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document.write( "==> 2x - 4y = 4 -----------------(2)\r<BR>\n" );
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document.write( "Multiply (1) throughout with 4\r<BR>\n" );
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document.write( "==> 4(x + y) = 4 * 23 \r<BR>\n" );
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document.write( "==> 4x + 4y = 92 ---------------(3)\r<BR>\n" );
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document.write( "Now add (2) and (3)\r<BR>\n" );
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document.write( "2x - 4y = 4 -----------------(2)\r<BR>\n" );
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document.write( "4x + 4y = 92 ---------------(3)\r<BR>\n" );
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document.write( "==> 2x - 4y + 4x + 4y = 4 + 92\r<BR>\n" );
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document.write( "==>  6x = 96\r<BR>\n" );
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document.write( "Divide throughout by 6\r<BR>\n" );
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document.write( "==> 6x/6 = 96/6\r<BR>\n" );
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document.write( "==> x = 16\r<BR>\n" );
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document.write( "Now substitute this value of x in the given condition, x + y = 23\r<BR>\n" );
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document.write( "==> 16 + y = 23\r<BR>\n" );
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document.write( "Subtract 16 from both sides\r<BR>\n" );
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document.write( "==> 16 + y - 16 = 23 - 16\r<BR>\n" );
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document.write( "==> y = 7\r<BR>\n" );
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document.write( "So the larger number is 16and the smaller number is 7.\r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena,\r<BR>\n" );
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document.write( " </SPAN>\n" );
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