document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023270>Question 1023270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use elimination to solve the problem.\r<BR>\n" );
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document.write( "The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 45 more than the original number. Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638782 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = original 10's digit<BR>\n" );
document.write( "b = original units<BR>\n" );
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document.write( "The sum of the digits of a two-digit number is 11.<BR>\n" );
document.write( "a + b = 11<BR>\n" );
document.write( " If the digits are reversed, the new number is 45 more than the original number.<BR>\n" );
document.write( "10a + b = 10b + a + 45<BR>\n" );
document.write( "10a - a + b - 10b = 45<BR>\n" );
document.write( "9a - 9b = 45<BR>\n" );
document.write( "simplify divide by 9<BR>\n" );
document.write( "a - b = 5<BR>\n" );
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document.write( "use elimination on these two equation<BR>\n" );
document.write( "a + b = 11<BR>\n" );
document.write( "a - b = 5<BR>\n" );
document.write( "--------------adding eliminates b, find a<BR>\n" );
document.write( "2a + 0 = 16<BR>\n" );
document.write( "a = 16/2<BR>\n" );
document.write( "a = 8<BR>\n" );
document.write( "find b<BR>\n" );
document.write( "a + b = 11<BR>\n" );
document.write( "8 + b = 11<BR>\n" );
document.write( "b = 11 - 8<BR>\n" );
document.write( "b = 3 <BR>\n" );
document.write( " Find the number. 83<BR>\n" );
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document.write( "Check this, subtract;<BR>\n" );
document.write( "83<BR>\n" );
document.write( "38<BR>\n" );
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document.write( "45 </SPAN>\n" );
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