document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164855>Question 164855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121487 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=121487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the tens digit be A, the ones digit be B.<BR>\n" );
document.write( "The number is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A10%2BB ALIGN=MIDDLE  ALT=\"A%2A10%2BB\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "\"The product of the two-digit number and its tens digit is 54.\"<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%2A10%2BB%29%2AA=54 ALIGN=MIDDLE  ALT=\"%28A%2A10%2BB%29%2AA=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10A%5E2%2BAB=54 ALIGN=MIDDLE  ALT=\"10A%5E2%2BAB=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"the sum of the digits when added to the number gives a result of 36\"<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2B%28A%2A10%2BB%29=36 ALIGN=MIDDLE  ALT=\"A%2BB%2B%28A%2A10%2BB%29=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11A%2B2B=36 ALIGN=MIDDLE  ALT=\"11A%2B2B=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 2, <BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11A%2B2B=36 ALIGN=MIDDLE  ALT=\"11A%2B2B=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B=36-11A ALIGN=MIDDLE  ALT=\"2B=36-11A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=18-%2811%2F2%29A ALIGN=MIDDLE  ALT=\"B=18-%2811%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subsitute this value into eq. 1 and solve for A.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10A%5E2%2BAB=54 ALIGN=MIDDLE  ALT=\"10A%5E2%2BAB=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10A%5E2%2BA%2818-%2811%2F2%29A%29=54 ALIGN=MIDDLE  ALT=\"10A%5E2%2BA%2818-%2811%2F2%29A%29=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20A%5E2%2BA%2836-11A%29=108 ALIGN=MIDDLE  ALT=\"20A%5E2%2BA%2836-11A%29=108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20A%5E2%2B36A-11A%5E2=108 ALIGN=MIDDLE  ALT=\"20A%5E2%2B36A-11A%5E2=108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9A%5E2%2B36A-108=0 ALIGN=MIDDLE  ALT=\"9A%5E2%2B36A-108=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2%2B4A-12=0 ALIGN=MIDDLE  ALT=\"A%5E2%2B4A-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%2B6%29%28A-2%29=0 ALIGN=MIDDLE  ALT=\"%28A%2B6%29%28A-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A negative value for A wouldn't make sense for this problem.<BR>\n" );
document.write( "We'll only use the positive value.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-2=0 ALIGN=MIDDLE  ALT=\"A-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2 ALIGN=MIDDLE  ALT=\"A=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=18-%2811%2F2%29A ALIGN=MIDDLE  ALT=\"B=18-%2811%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=18-%2811%2F2%292 ALIGN=MIDDLE  ALT=\"B=18-%2811%2F2%292\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=18-11 ALIGN=MIDDLE  ALT=\"B=18-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=7 ALIGN=MIDDLE  ALT=\"B=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The two digit number is 27.<BR>\n" );
document.write( ".<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "Check your answer.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "\"The product of the two-digit number and its tens digit is 54.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2A2=54 ALIGN=MIDDLE  ALT=\"27%2A2=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54=54 ALIGN=MIDDLE  ALT=\"54=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"the sum of the digits when added to the number gives a result of 36\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B7%2B27=36 ALIGN=MIDDLE  ALT=\"2%2B7%2B27=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=36 ALIGN=MIDDLE  ALT=\"36=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Both statements are true.<BR>\n" );
document.write( "It's a good answer.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );