document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300399>Question 300399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When the digits of a two-digit number are reversed,the new number is 9 more than the original number,and the sum of digits of the original number is 11.What is the original? <BR>\n" );
document.write( "I really need help with setting this up and how to check.<BR>\n" );
document.write( " Please and Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215582 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><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=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> original number: (ab)=10a+b<BR>\n" );
document.write( "new number: (ba)=10b+a<BR>\n" );
document.write( "a+b=11<BR>\n" );
document.write( "(ba)=9+10a+b\r<BR>\n" );
document.write( "\n" );
document.write( "hmm this is harder to explain then i thought.<BR>\n" );
document.write( "[for example take number 45=(10(4)+5) if reversed its 54=(10(5)+4). 4+5=9 sum of digits of original number 45, (10(4)+5)+9=54 added 9 to the original 45 to get the new number 54.]<BR>\n" );
document.write( "same type of thing for this problem<BR>\n" );
document.write( "a and be have to be single whole numbers that add to get 11<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ba%29=%28ba%29 ALIGN=MIDDLE  ALT=\"%28ba%29=%28ba%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=11-a ALIGN=MIDDLE  ALT=\"b=11-a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2B10a%2Bb%29=%2810b%2Ba%29 ALIGN=MIDDLE  ALT=\"%289%2B10a%2Bb%29=%2810b%2Ba%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=9b-9a ALIGN=MIDDLE  ALT=\"9=9b-9a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=9%2811-a%29-9a ALIGN=MIDDLE  ALT=\"9=9%2811-a%29-9a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=%2899-9a%29-9a ALIGN=MIDDLE  ALT=\"9=%2899-9a%29-9a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=99-18a ALIGN=MIDDLE  ALT=\"9=99-18a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-90=-18a ALIGN=MIDDLE  ALT=\"-90=-18a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=a ALIGN=MIDDLE  ALT=\"5=a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "________<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=11 ALIGN=MIDDLE  ALT=\"a%2Bb=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Bb=11 ALIGN=MIDDLE  ALT=\"5%2Bb=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=6 ALIGN=MIDDLE  ALT=\"b=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "________<BR>\n" );
document.write( "check<BR>\n" );
document.write( "(ab)=10a+b<BR>\n" );
document.write( "(ab)=10(5)+(6)<BR>\n" );
document.write( "(ab)=(56)<BR>\n" );
document.write( "__<BR>\n" );
document.write( "(ba)=10b+a<BR>\n" );
document.write( "(ba)=10(6)+(5)<BR>\n" );
document.write( "(ba)=(65)<BR>\n" );
document.write( "__<BR>\n" );
document.write( "(ba)=9+(ab)<BR>\n" );
document.write( "(65)=9+(56)<BR>\n" );
document.write( "(65)=(65)<BR>\n" );
document.write( "CORRECT\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );