document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827154>Question 827154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of two digit number is 7. if the digits are interchanged, the resulting number is 27 more than the original number. find the original number.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498475 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=498475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> all these are...are puzzles waiting to be solved<BR>\n" );
document.write( "Sum and more than=adding<BR>\n" );
document.write( "two digit number=## ex:(11, 35, 99, ...)<BR>\n" );
document.write( "adding the digits together looks like: 1+1=2 for 11, 3+5=8 for 35, 9+9=18 for 99<BR>\n" );
document.write( "these can also be viewed as variables for example say  xy=35 where x=3 and y=5 but if 3 where to be multiplied by 5 you don't get 35. so what this really looks like is 3*10+5=35  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2810x%2By%29=35 ALIGN=MIDDLE  ALT=\"highlight%2810x%2By%29=35\"   DISABLED_style= \"max-width:90%; height:auto;\" >   , and swapping positions is simply 35 to 53<BR>\n" );
document.write( "with this in mind lets start the problem<BR>\n" );
document.write( "we have numbers <BR>\n" );
document.write( "xy where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=7 ALIGN=MIDDLE  ALT=\"x%2By=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "yx where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=27%2B10x%2By ALIGN=MIDDLE  ALT=\"10y%2Bx=27%2B10x%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now you have 2 equations so I'll solve for x first and substitute it in 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7-y ALIGN=MIDDLE  ALT=\"x=7-y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2B%287-y%29=27%2B10%287-y%29%2By ALIGN=MIDDLE  ALT=\"10y%2B%287-y%29=27%2B10%287-y%29%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "distribute the 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2B7-y=27%2B70-10y%2By ALIGN=MIDDLE  ALT=\"10y%2B7-y=27%2B70-10y%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y%2B7=97-9y ALIGN=MIDDLE  ALT=\"9y%2B7=97-9y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add 9y to both sides and subtract 7 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18y=90 ALIGN=MIDDLE  ALT=\"18y=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 18<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now simply solve for x by substituting in 5 for y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7-%285%29 ALIGN=MIDDLE  ALT=\"x=7-%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the original number should be<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2825%29 ALIGN=MIDDLE  ALT=\"highlight_green%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Lets check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2B27=52 ALIGN=MIDDLE  ALT=\"25%2B27=52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52=52 ALIGN=MIDDLE  ALT=\"52=52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is correct<BR>\n" );
document.write( " </SPAN>\n" );
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