document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164601>Question 164601</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 #121282 by </B><A HREF=/tutors/aboutme.mpl?userid=MRperkins><B>MRperkins(300)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MRperkins><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=MRperkins><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For these purposes let the two-digit number be {xy}.  <BR>\n" );
document.write( "The product of {xy} and its tens digit (x)=54<BR>\n" );
document.write( "Since the tens digit is a number between 0 and 9, which of these numbers can be multiplied by a two digit number to equal 54?<BR>\n" );
document.write( "1*54    Yes<BR>\n" );
document.write( "2*27    Yes<BR>\n" );
document.write( "3*18    Yes<BR>\n" );
document.write( "4*13.5  No<BR>\n" );
document.write( "5*10.8  No<BR>\n" );
document.write( "6*9     No<BR>\n" );
document.write( "7*7.71  No<BR>\n" );
document.write( "8*6.75  No<BR>\n" );
document.write( "9*6     No<BR>\n" );
document.write( "Notice that the ten's digit of 27 is a 2 and the product of these numbers is 54.\r<BR>\n" );
document.write( "\n" );
document.write( "The sum of the digits when added to the number gives a result of 36:<BR>\n" );
document.write( "x+y+{xy}=36<BR>\n" );
document.write( "2+7+ 27 =36\r<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );