document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126446>Question 126446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The differance between two numbers is 15. When twice the smaller number is subtracted from three times the larger number, the difference is 58. What is the larger number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92640 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=92640\">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 differance between two numbers is 15. When twice the smaller number is subtracted from three times the larger number, the difference is 58. What is the larger number?\r<BR>\n" );
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document.write( "Answer:\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( "It is given that, The differance between two numbers is 15\r<BR>\n" );
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document.write( "==> x-y = 15 -------(1)\r<BR>\n" );
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document.write( "==> y = x-15 --------(2)\r<BR>\n" );
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document.write( "twice the smaller number = 2y\r<BR>\n" );
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document.write( "Three times the larger number = 3x\r<BR>\n" );
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document.write( "When twice the smaller number is subtracted from three times the larger number, the difference is 58....means\r<BR>\n" );
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document.write( "==> 3x - 2y = 58-------(3)\r<BR>\n" );
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document.write( "substitute the value,  y = x-15 in the third equation...\r<BR>\n" );
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document.write( "==> 3x - 2(x-15) = 58\r<BR>\n" );
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document.write( "==> 3x - 2x + 30 = 58\r<BR>\n" );
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document.write( "==> x + 30 = 58\r<BR>\n" );
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document.write( "subtract 30 from both sides....\r<BR>\n" );
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document.write( "==> x + 30 - 30 = 58 - 30\r<BR>\n" );
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document.write( "==> x = 28\r<BR>\n" );
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document.write( "So the value of y = x - 15 =  28 - 15 = 13\r<BR>\n" );
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document.write( "So the larger number is 28 and the smaller number is 13\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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