document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585444>Question 585444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 45. if three time the larger number is increased by four times the smaller number the sum is 155. 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 #373352 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley79><B>checkley79(3341)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley79><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=373352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the smaller number.<BR>\n" );
document.write( "Let y be the larger number.<BR>\n" );
document.write( "x+y=45<BR>\n" );
document.write( "3y+4x=155<BR>\n" );
document.write( "x=45-y<BR>\n" );
document.write( "3y+4(45-y)=155<BR>\n" );
document.write( "3y+180-4y=155<BR>\n" );
document.write( "-y=155-180<BR>\n" );
document.write( "-y=-25<BR>\n" );
document.write( "y=25 ans.<BR>\n" );
document.write( "x+25=45<BR>\n" );
document.write( "x=45-25<BR>\n" );
document.write( "x=20 ans.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "3*25+4*20=155<BR>\n" );
document.write( "75+80=155<BR>\n" );
document.write( "155=155<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );