document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=333671>Question 333671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four times the larger number was 11 greater than 7 times the smaller number. If the smaller number was 8 less than the larger number, what was the smaller number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239160 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=239160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let larger number be x<BR>\n" );
document.write( "smaller number be y<BR>\n" );
document.write( "..<BR>\n" );
document.write( "4x =7y+11<BR>\n" );
document.write( "4x-7y=11...................1<BR>\n" );
document.write( "x-y=8......................2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "multiply equation 2 by -4 and add to equation 1<BR>\n" );
document.write( "-4x+4y+4x-7y=-32+11<BR>\n" );
document.write( "-3y=-21<BR>\n" );
document.write( "y=7<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-y =8<BR>\n" );
document.write( "x=8+y<BR>\n" );
document.write( "x=15 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );