document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81863>Question 81863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 20. The difference of the two numbers is twice the smaller number. Write a system of equations that will determine 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 #58666 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=58666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X+Y=20 THIS IS THE SUM OF THE TWO NUMBERS WITH X BEING THE SMALLER NUMBER.<BR>\n" );
document.write( "Y-X=2X THIS IS THE DIFFERENCE THAT IS TWICE THE SMALLER NUMBER.<BR>\n" );
document.write( "YOU DON'T ASK TO SOLVE FOR THE TWO NUMBERS BUT I WILL SOLVE THEM FOR YOU.<BR>\n" );
document.write( "X+Y=20 OR X=20-Y NOW SUBSTITUTE (20-Y) FOR X IN THE OTHER EQUATION THUS:<BR>\n" );
document.write( "Y-(20-Y)=2(20-Y)<BR>\n" );
document.write( "Y-20+Y=40-2Y<BR>\n" );
document.write( "2Y+2Y=40+20<BR>\n" );
document.write( "4Y=60<BR>\n" );
document.write( "Y=60/4<BR>\n" );
document.write( "Y=15 ANSWER.<BR>\n" );
document.write( "X+15=20<BR>\n" );
document.write( "X=20-15<BR>\n" );
document.write( "X=5 ANSWER.<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( "15-5=2*5<BR>\n" );
document.write( "10=10<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );