document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164151>Question 1164151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find the number?  The units digit of a two-digit number is three more<BR>\n" );
document.write( "than the tens digit.The number is equal to four times the sum of the digits. Find the number. (Hint: We can represent a two digit number as 10t+u.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788508 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=788508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Apparently, with the hint that is given, the problem is supposed to be solved using formal algebra.  You have a couple of responses showing good examples of that.<br><BR>\n" );
document.write( "But you can get good mental exercise (and learn a lot about solving math problems) by solving the problem quickly using logical reasoning and some simple mental arithmetic.<br><BR>\n" );
document.write( "In this problem, we know the units digit is 3 more than the tens digit. <br><BR>\n" );
document.write( "The only possible numbers are 14, 25, 36, 47, 58, and 69.<br><BR>\n" );
document.write( "We know the number itself is a multiple of 4.<br><BR>\n" );
document.write( "Using basic divisibility rules, it is easy to see that only one of the possible numbers -- 36 -- is divisible by 4.<br><BR>\n" );
document.write( "ANSWER: The number is 36.<br><BR>\n" );
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