document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153592>Question 1153592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four times the ones digit of a positive, two digit integer is 25 greater than the sum of the digits. Reversing the digits increases the number by 63. What is 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 #775859 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=775859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a quick path to the answer, if a formal algebraic solution is not required.<br><BR>\n" );
document.write( "The difference between a 2-digit number and the 2-digit number with the digits reversed is 9 times the difference of the two digits.<br><BR>\n" );
document.write( "The given number is increased by 63 = 9*7 when the digits are reversed, so the difference between the digits is 7.  That means the 2-digit number can be only 18 or 29.<br><BR>\n" );
document.write( "18 doesn't satisfy the condition that the ones digit is 25 more than the sum of the digits; 29 does.<br><BR>\n" );
document.write( "ANSWER: 29<br><BR>\n" );
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