document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106672>Question 106672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is 4 less than another.  If 10 times the smaller number minus 3 times the larger number is 51, find the two numbers.\r<BR>\n" );
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document.write( "So is this x(x-4)=51 I am lost\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 #77629 by </B><A HREF=/tutors/aboutme.mpl?userid=rcmcc><B>rcmcc(152)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcmcc><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=rcmcc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Word problems are tricky to understand. The easiest way to derive an equation is to go step by step.\r<BR>\n" );
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document.write( "the first equation you can find is simple.\r<BR>\n" );
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document.write( "y=x-4\r<BR>\n" );
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document.write( "where x is the larger number and y is the smaller one\r<BR>\n" );
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document.write( "so if y is the smaller number 10x y subtracting 3x the larger number x looks like this\r<BR>\n" );
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document.write( "10y-3x=51\r<BR>\n" );
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document.write( "so your two equations are below\r<BR>\n" );
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document.write( "y=x-4<BR>\n" );
document.write( "10y-3x=51\r<BR>\n" );
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document.write( "because you have y isolated you can substitute it in for the second equation\r<BR>\n" );
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document.write( "10y-3x=51<BR>\n" );
document.write( "10(x-4)-3x=51\r<BR>\n" );
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document.write( "expand the brackets\r<BR>\n" );
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document.write( "10x-40-3x=51\r<BR>\n" );
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document.write( "simplify\r<BR>\n" );
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document.write( "7x-40=51\r<BR>\n" );
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document.write( "bring the 40 to the other side\r<BR>\n" );
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document.write( "7x=91<BR>\n" );
document.write( "divide by 7\r<BR>\n" );
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document.write( "x=13\r<BR>\n" );
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document.write( "because you have the larger number subtract 4 to find the smaller number\r<BR>\n" );
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document.write( "your two numbers are (13 and 9)<BR>\n" );
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