document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113520>Question 113520</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0071435336/algebrahomeworkh>Arithmetic and algebra again</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two-digit number is 7. If the digits are reversed, the new number increased by 3 equals 4 times the original number. Find the original number.\r<BR>\n" );
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document.write( "here is what I have done:\r<BR>\n" );
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document.write( "original number       10x + y     <BR>\n" );
document.write( "     new number       10y + x\r<BR>\n" );
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document.write( "x + y = 7\r<BR>\n" );
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document.write( "      <BR>\n" );
document.write( "      10x + y = 10y + x + 3<BR>\n" );
document.write( "10x -x + y -y = 10y -y + x -x + 3<BR>\n" );
document.write( "           9x =  9y + 3<BR>\n" );
document.write( "            x =   y + 3\r<BR>\n" );
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document.write( "            <BR>\n" );
document.write( "            x + y = 7<BR>\n" );
document.write( "        (y+3) + y = 7<BR>\n" );
document.write( "           2y + 3 = 7<BR>\n" );
document.write( "         2y +3 -3 = 7 -3<BR>\n" );
document.write( "               2y = 4<BR>\n" );
document.write( "             2y/2 = 4/2<BR>\n" );
document.write( "                y = 2\r<BR>\n" );
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document.write( "            x + y = 7<BR>\n" );
document.write( "            2 + y = 7<BR>\n" );
document.write( "         2 -2 + y = 7 -2\r<BR>\n" );
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document.write( "                y = 5<BR>\n" );
document.write( "                x = 2\r<BR>\n" );
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document.write( "I get an answer, but it don't check.<BR>\n" );
document.write( "Every time I do this problem this my answer or fractional. please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82598 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your analysis is correct and you're on the right track.<BR>\n" );
document.write( "You made a mistake at this point.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++10x+%2B+y+=+10y+%2B+x+%2B+3 ALIGN=MIDDLE  ALT=\"+++10x+%2B+y+=+10y+%2B+x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The new number (digits reversed) increased by 3 equals 4 times the original number.<BR>\n" );
document.write( "You forgot the 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++highlight%284%29%2810x+%2B+y%29+=+10y+%2B+x+%2B+3 ALIGN=MIDDLE  ALT=\"+++highlight%284%29%2810x+%2B+y%29+=+10y+%2B+x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now together with <BR>\n" );
document.write( "<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( "should get you a quick answer. <BR>\n" );
document.write( "Good luck.<BR>\n" );
document.write( "Post another question if you get stuck. <BR>\n" );
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