document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703118>Question 703118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two times the smaller of two numbers is two less than the difference between the two numbers. The sum of the larger number and one-half of the smaller number is equal to three times the smaller number increased by five. What are 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 #433341 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=433341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two times the smaller of two numbers is two less than the difference between the two numbers. The sum of the larger number and one-half of the smaller number is equal to three times the smaller number increased by five. What are the numbers?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=smaller number<BR>\n" );
document.write( "let y=larger number<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2x=(y-x)-2<BR>\n" );
document.write( "y+x/2=3x+5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2x=y-x-2<BR>\n" );
document.write( "2y+x=6x+10<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3x=y-2<BR>\n" );
document.write( "5x+2y-10<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6x=2y-4<BR>\n" );
document.write( "5x=2y-10<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "y=3x+2=18+2=20<BR>\n" );
document.write( "smaller number=6<BR>\n" );
document.write( "larger number=20 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );