document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68707>Question 68707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two numbers is 16. Five times the smaller is the same as 8 less than the larger. Find the numbers. I'm having trouble finding the equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48901 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=48901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference between two numbers is 16. Five times the smaller is the same as 8 less than the larger. Find the numbers. I'm having trouble finding the equations.<BR>\n" );
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document.write( "Let the numbers be x and y.<BR>\n" );
document.write( "Let x be the larger number.<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "1st: x-y=16<BR>\n" );
document.write( "2nd: 5y=x-8<BR>\n" );
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document.write( "Solve 1st for x: x=y+16<BR>\n" );
document.write( "Substitute in 2nd: 5y=y+16-8<BR>\n" );
document.write( "4y=8<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Then x=y+16=18<BR>\n" );
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document.write( "larger number is 18; smaller is 2\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "The larger number is <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );