document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448333>Question 448333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3) The units digit is 3 times more the tens digit. When the digits are reversed, the new number is 54 more than the original.\r<BR>\n" );
document.write( "\n" );
document.write( "4)The units digit is 3 times the tens digit.  The number is 12 more than 9 times the tens digit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(WILL GIVE AMAZING COMMENT.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308492 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started. If you need more help, then repost. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "# 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let u = units digit and t = tens digit\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the original number is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t%2Bu ALIGN=MIDDLE  ALT=\"10t%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The reversed digit number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10u%2Bt ALIGN=MIDDLE  ALT=\"10u%2Bt\"   DISABLED_style= \"max-width:90%; height:auto;\" > (swap u and t). Ex: if t = 5 and u = 9, then the original number is 59 and the swapped number is 95. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since \"The units digit is 3 times more the tens digit\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=3t ALIGN=MIDDLE  ALT=\"u=3t\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ie multiply the tens digit t by 3 to get the units digit u).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now \"When the digits are reversed, the new number is 54 more than the original\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10u%2Bt=10t%2Bu%2B54 ALIGN=MIDDLE  ALT=\"10u%2Bt=10t%2Bu%2B54\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10u%2Bt=10t%2Bu%2B54 ALIGN=MIDDLE  ALT=\"10u%2Bt=10t%2Bu%2B54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%283t%29%2Bt=10t%2B3t%2B54 ALIGN=MIDDLE  ALT=\"10%283t%29%2Bt=10t%2B3t%2B54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=3t ALIGN=MIDDLE  ALT=\"u=3t\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ie replace EVERY \"u\", without quotes, with \"3t\", without quotes)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30t%2Bt=10t%2B3t%2B54 ALIGN=MIDDLE  ALT=\"30t%2Bt=10t%2B3t%2B54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31t=10t%2B3t%2B54 ALIGN=MIDDLE  ALT=\"31t=10t%2B3t%2B54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31t=54%2B13t ALIGN=MIDDLE  ALT=\"31t=54%2B13t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31t-13t=54 ALIGN=MIDDLE  ALT=\"31t-13t=54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13t ALIGN=MIDDLE  ALT=\"13t\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18t=54 ALIGN=MIDDLE  ALT=\"18t=54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%2854%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"t=%2854%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the tens digit is 3. Because we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=3t ALIGN=MIDDLE  ALT=\"u=3t\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can plug this into that equation to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=3%283%29=9 ALIGN=MIDDLE  ALT=\"u=3%283%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the units digit is 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the original number is 39. The new swapped number is 93. Notice how 93 is 54 more than 39 (ie 39+54 = 93)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "=======================================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "# 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the same basic strategy to solve this problem. Let me know if you still need help. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );