document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125797>Question 125797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The difference of two numbers is 91.  THe second is 5 less than 5 times the first. What are the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92172 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=92172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the fist number and y = the second number.<BR>\n" );
document.write( "1) y-x = 91 \"The difference of the two numbers is 91\"<BR>\n" );
document.write( "2) y = 5x-5 \"The second number is 5 less than 5 times the first\"<BR>\n" );
document.write( "Substitute the y from the second equation into the first and solve for x.<BR>\n" );
document.write( "1a) (5x-5)-x = 91 Simplify.<BR>\n" );
document.write( "5x-x-5 = 91<BR>\n" );
document.write( "4x-5 = 91 Add 5 to both sides.<BR>\n" );
document.write( "4x = 96 Divide both sides by 4.<BR>\n" );
document.write( "x = 24 and...<BR>\n" );
document.write( "y = 5(24)-5<BR>\n" );
document.write( "y = 120-5<BR>\n" );
document.write( "y = 115<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "y-x = 91<BR>\n" );
document.write( "115-24 = 91<BR>\n" );
document.write( "91 = 91 and...<BR>\n" );
document.write( "115 = 5(24)-5<BR>\n" );
document.write( "115 = 120-5<BR>\n" );
document.write( "115 = 115 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );