document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129940>Question 129940</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977224/algebrahomeworkh>algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi me again. I mostly having trouble with word problems *Math worst subject*, anyway, with this I started than got confused:\r<BR>\n" );
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document.write( "*When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number?*\r<BR>\n" );
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document.write( "I am always thankful, or gonna be thankful when you guys help me, I always wanted help with this algebra book. Thankfully I got it. \r<BR>\n" );
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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 #94901 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=94901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t=ten's digit of unknown number, u=unit's digit of unknown number\r<BR>\n" );
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document.write( "So our number is in this form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=10%2At%2Bu ALIGN=MIDDLE  ALT=\"N=10%2At%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now if the digits are reversed then our number becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=10%2Au%2Bt ALIGN=MIDDLE  ALT=\"M=10%2Au%2Bt\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the new number is 9 more than the original number, this means\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=N%2B9 ALIGN=MIDDLE  ALT=\"M=N%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, because the sum of the digits of the original number is 11, we know that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Bu=11 ALIGN=MIDDLE  ALT=\"t%2Bu=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And solving for t, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11-u ALIGN=MIDDLE  ALT=\"t=11-u\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=N%2B9 ALIGN=MIDDLE  ALT=\"M=N%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the third equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Au%2Bt=10%2At%2Bu%2B9 ALIGN=MIDDLE  ALT=\"10%2Au%2Bt=10%2At%2Bu%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=10%2At%2Bu ALIGN=MIDDLE  ALT=\"N=10%2At%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=10%2Au%2Bt ALIGN=MIDDLE  ALT=\"M=10%2Au%2Bt\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10u%2B11-u=10%2811-u%29%2Bu%2B9 ALIGN=MIDDLE  ALT=\"10u%2B11-u=10%2811-u%29%2Bu%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11-u ALIGN=MIDDLE  ALT=\"t=11-u\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Notice how we now have one equation with one unknown\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10u%2B11-u=110-10u%2Bu%2B9 ALIGN=MIDDLE  ALT=\"10u%2B11-u=110-10u%2Bu%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9u%2B11=110-10u%2Bu%2B9 ALIGN=MIDDLE  ALT=\"9u%2B11=110-10u%2Bu%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9u%2B11=-9u%2B119 ALIGN=MIDDLE  ALT=\"9u%2B11=-9u%2B119\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9u=-9u%2B119-11 ALIGN=MIDDLE  ALT=\"9u=-9u%2B119-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 11 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9u%2B9u=119-11 ALIGN=MIDDLE  ALT=\"9u%2B9u=119-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 9u to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18u=119-11 ALIGN=MIDDLE  ALT=\"18u=119-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18u=108 ALIGN=MIDDLE  ALT=\"18u=108\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=%28108%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"u=%28108%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 18 to isolate u\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=6 ALIGN=MIDDLE  ALT=\"u=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So we know that the unit's digit is 6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11-6 ALIGN=MIDDLE  ALT=\"t=11-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=6 ALIGN=MIDDLE  ALT=\"u=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=5 ALIGN=MIDDLE  ALT=\"t=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "So the ten's digit is 5\r<BR>\n" );
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document.write( "So the original number is 56 and the reversed number is 65\r<BR>\n" );
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document.write( " </SPAN>\n" );
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