document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25804>Question 25804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem:<BR>\n" );
document.write( "Find the two-digit number whose tens digit is 3 less than the units digit. The original number is 6 more than 4 times the sum of the digits.<BR>\n" );
document.write( "I could REALLY use your HELP! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13889 by </B><A HREF=/tutors/aboutme.mpl?userid=atif.muhammad><B>atif.muhammad(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=atif.muhammad><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=13889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each two digit number has two numbers (duh!).\r<BR>\n" );
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document.write( "Let's allow the tens digit to be x and the units digit to be y.\r<BR>\n" );
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document.write( "Tens digit is 3 less than the units digit:  x = y-3\r<BR>\n" );
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document.write( "Original number is 6 more than 4 times the sum of the digits:  10x+y-6 = 4x + 4y\r<BR>\n" );
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document.write( "This gives us simulataneous equations!<BR>\n" );
document.write( "First let's clear the mess:\r<BR>\n" );
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document.write( "1. x= y-3<BR>\n" );
document.write( "2. 6x-3y=6\r<BR>\n" );
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document.write( "Substitute 1 into 2:\r<BR>\n" );
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document.write( "6(y-3) -3y =6<BR>\n" );
document.write( "6y - 18 - 3y = 6<BR>\n" );
document.write( "3y = 24<BR>\n" );
document.write( "y = 8\r<BR>\n" );
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document.write( "Our units digit is 8\r<BR>\n" );
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document.write( "Substitute y= 8 into 1.\r<BR>\n" );
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document.write( "x = y - 3<BR>\n" );
document.write( "x = 5\r<BR>\n" );
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document.write( "Our tens digit is 5\r<BR>\n" );
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document.write( "Therefore, our number is 58.\r<BR>\n" );
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document.write( "Let's test this.\r<BR>\n" );
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document.write( "Tens digit is 3 less than units digit: 58  -->  5 is 3 less than 8! <BR>\n" );
document.write( "Original number is 6 more than 4 times the sum of the digits --> sum of the digits = 13, 4 times the sum of the digits = 52, Add 6, 58!\r<BR>\n" );
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document.write( "We have proven that our number is 58! </SPAN>\n" );
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