document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126290>Question 126290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The tens' digit of a two didgit number is 3 more than the units' digit. The number is 8 more than 6 times the sum of the didgits. 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 #92523 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the tens digit is x and the ones digit is y, then we can say the number, n, is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=10x%2By ALIGN=MIDDLE  ALT=\"n=10x%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We also know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B3 ALIGN=MIDDLE  ALT=\"x=y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=6%28x%2By%29%2B8 ALIGN=MIDDLE  ALT=\"n=6%28x%2By%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2By=6%28x%2By%29%2B8 ALIGN=MIDDLE  ALT=\"10x%2By=6%28x%2By%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then substitute the fact that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B3 ALIGN=MIDDLE  ALT=\"x=y%2B3\"   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=10%28y%2B3%29%2By=6%28%28y%2B3%29%2By%29%2B8 ALIGN=MIDDLE  ALT=\"10%28y%2B3%29%2By=6%28%28y%2B3%29%2By%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2B30%2By=6y%2B18%2B6y%2B8 ALIGN=MIDDLE  ALT=\"10y%2B30%2By=6y%2B18%2B6y%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11y%2B30=12y%2B26 ALIGN=MIDDLE  ALT=\"11y%2B30=12y%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y=-4 ALIGN=MIDDLE  ALT=\"-y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Which tells us that the ones digit is 4.  From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B3 ALIGN=MIDDLE  ALT=\"x=y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can tell that the tens digit must be 7.  Hence the number is 74.\r<BR>\n" );
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document.write( "Check the answer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=4%2B3 ALIGN=MIDDLE  ALT=\"7=4%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2B4=11 ALIGN=MIDDLE  ALT=\"7%2B4=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2A6=66 ALIGN=MIDDLE  ALT=\"11%2A6=66\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=66%2B8=74 ALIGN=MIDDLE  ALT=\"66%2B8=74\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Answer checks. </SPAN>\n" );
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