document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391287>Question 391287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference between two numbers is 21 and their sum is 185.find the largest number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277580 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-y=21_x+y=185\r<BR>\n" );
document.write( "\n" );
document.write( "Since -y does not contain the variable to solve for, move it to the right-hand side of the equation by adding y to both sides.<BR>\n" );
document.write( "x=y+21_x+y=185\r<BR>\n" );
document.write( "\n" );
document.write( "Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is y+21.<BR>\n" );
document.write( "x=y+21_(y+21)+y=185\r<BR>\n" );
document.write( "\n" );
document.write( "Remove the parentheses around the expression y+21.<BR>\n" );
document.write( "x=y+21_y+21+y=185\r<BR>\n" );
document.write( "\n" );
document.write( "Since y and y are like terms, add y to y to get 2y.<BR>\n" );
document.write( "x=y+21_2y+21=185\r<BR>\n" );
document.write( "\n" );
document.write( "Since 21 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 21 from both sides.<BR>\n" );
document.write( "x=y+21_2y=-21+185\r<BR>\n" );
document.write( "\n" );
document.write( "Add 185 to -21 to get 164.<BR>\n" );
document.write( "x=y+21_2y=164\r<BR>\n" );
document.write( "\n" );
document.write( "Divide each term in the equation by 2.<BR>\n" );
document.write( "x=y+21_(2y)/(2)=(164)/(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "x=y+21_y=(164)/(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "x=y+21_y=82\r<BR>\n" );
document.write( "\n" );
document.write( "Replace all occurrences of y with the solution found by solving the last equation for y.  In this case, the value substituted is 82.<BR>\n" );
document.write( "x=(82)+21_y=82\r<BR>\n" );
document.write( "\n" );
document.write( "Remove the parentheses around the expression 82.<BR>\n" );
document.write( "x=82+21_y=82\r<BR>\n" );
document.write( "\n" );
document.write( "Add 21 to 82 to get 103.<BR>\n" );
document.write( "x=103_y=82\r<BR>\n" );
document.write( "\n" );
document.write( "This is the solution to the system of equations.<BR>\n" );
document.write( "x=103_y=82 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );