document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949033>Question 949033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two positive numbers have a difference of 8. The larger number is 2 less than 3 times the smaller number. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579310 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=579310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L=larger number; S=smaller number<BR>\n" );
document.write( "L=3S-2<BR>\n" );
document.write( "L-S=8 Substitute for L<BR>\n" );
document.write( "(3S-2)-S=8 Add 2 to each side.<BR>\n" );
document.write( "2S=10 Divide each side by 2<BR>\n" );
document.write( "S=5 ANSWER 1: The smaller number is 5.<BR>\n" );
document.write( "L-S=8<BR>\n" );
document.write( "L-5=8 Add 5 to each side.<BR>\n" );
document.write( "L=13 ANSWER 2: The larger number is 13.<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "L-2=3S<BR>\n" );
document.write( "13+2=3(5)<BR>\n" );
document.write( "15=15<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );