document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431642>Question 431642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM 1:<BR>\n" );
document.write( "A two digit number with 2 different digits has a special property: \"When the sum of its digits is added to the product of its digits, the result is the number itself.\"  What is the smallest number with this property?<BR>\n" );
document.write( "PROBLEM 2:  <BR>\n" );
document.write( "Six is a perfect number because its factors ( not including 6)add up to itself.  What are all the perfect numbers between 20 and 30?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299544 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=299544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A two digit number with 2 different digits has a special property: <BR>\n" );
document.write( "\"When the sum of its digits is added to the product of its digits, the result is the number itself.\"<BR>\n" );
document.write( " What is the smallest number with this property?<BR>\n" );
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document.write( "x = 10's digit<BR>\n" );
document.write( "y = units<BR>\n" );
document.write( "then<BR>\n" );
document.write( "10x+y = the number<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x + y + xy = 10x + y<BR>\n" );
document.write( "xy = 10x - x + y - y<BR>\n" );
document.write( "xy = 9x<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%29%2Fx ALIGN=MIDDLE  ALT=\"%289x%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 9 is the units<BR>\n" );
document.write( "then <BR>\n" );
document.write( "19 is the smallest number with this property.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that is true<BR>\n" );
document.write( "1 + 9 + (1*9) = 10(1) + 9<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "PROBLEM 2:<BR>\n" );
document.write( "Six is a perfect number because its factors ( not including 6)add up to itself. What are all the perfect numbers between 20 and 30?<BR>\n" );
document.write( "28: 1 + 2 + 4 + 7 + 14 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );