document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161736>Question 161736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a certain number, if two digits equals 4 times thew sum of its digits. the number made by reversing the order of the digits is 27 greater than the given number. what is 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 #119196 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=119196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call the number in the tens place A and the number in the ones place B.<BR>\n" );
document.write( "The number would be AB or 10*A+B.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10A%2BB=4%2A%28A%2BB%29 ALIGN=MIDDLE  ALT=\"10A%2BB=4%2A%28A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the number is reversed then,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10B%2BA=27%2B%2810A%2BB%29 ALIGN=MIDDLE  ALT=\"10B%2BA=27%2B%2810A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's simplify both equations,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10A%2BB=4A%2B4B ALIGN=MIDDLE  ALT=\"10A%2BB=4A%2B4B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6A-3B=0 ALIGN=MIDDLE  ALT=\"6A-3B=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and now eq. 2,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10B%2BA=27%2B%2810A%2BB%29 ALIGN=MIDDLE  ALT=\"10B%2BA=27%2B%2810A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9A%2B9B=27 ALIGN=MIDDLE  ALT=\"-9A%2B9B=27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's multiply eq. 1 by 3 and add to eq. 2,<BR>\n" );
document.write( "then we can solve for A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18A-9B%2B%28-9A%29%2B9B=0%2B27 ALIGN=MIDDLE  ALT=\"18A-9B%2B%28-9A%29%2B9B=0%2B27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9A=27 ALIGN=MIDDLE  ALT=\"9A=27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=3 ALIGN=MIDDLE  ALT=\"A=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use eq. 1 to solve for B.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6A-3B=0 ALIGN=MIDDLE  ALT=\"6A-3B=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18-3B=0 ALIGN=MIDDLE  ALT=\"18-3B=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3B=-18 ALIGN=MIDDLE  ALT=\"-3B=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=6 ALIGN=MIDDLE  ALT=\"B=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The original number is 36, the reversed order number is 63.<BR>\n" );
document.write( "Check the answer.<BR>\n" );
document.write( "36+27=63<BR>\n" );
document.write( "63=63.<BR>\n" );
document.write( "True statement.<BR>\n" );
document.write( "Good answer.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );