document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161044>Question 1161044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between the digits of a two-digit number is 1. The number itself is 1 more than 5 times the sum of its digits. If the units digit is greater than the tens digit, find 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 #784493 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=784493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A quick and easy path to the solution, using logical reasoning -- if a formal algebraic solution is not required.<br><BR>\n" );
document.write( "\"the number itself is 1 more than 5 times the sum of its digits\".<br><BR>\n" );
document.write( "1 more than a multiple of 5 means the units digit of the number is either 1 or 6.<br><BR>\n" );
document.write( "The units digit is 1 more than the tens digit; so the 2-digit number is either \"01\" or \"56\".<br><BR>\n" );
document.write( "\"01\" is not a 2-digit number.  \"56\" is; and it satisfies the condition that the number is 1 more than 5 times the sum of its digits.<br><BR>\n" );
document.write( "ANSWER: 56<br><BR>\n" );
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