document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194539>Question 1194539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "In a 3 digit number the units digit is 3 more than the tens digit and the sum of the digits is 11. If the units and hundreds digits are interchanged the number increased  by 99. <BR>\n" );
document.write( "What is original number. <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826769 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=826769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "When the digits of a 3-digit number are reversed, the difference between the new number and the original number is 99 times the difference between the units digit and hundreds digit.<br><BR>\n" );
document.write( "In this problem, the number is increased by 99 when the digits are reversed; that means in the original number the hundreds digit is 1 less than the units digit.<br><BR>\n" );
document.write( "Then, given that the units digit is 3 more than the tens digit, we have<br><BR>\n" );
document.write( "x = tens digit<BR>\n" );
document.write( "x+3 = units digit (3 more than the tens digit)<BR>\n" );
document.write( "x+2 = hundreds digit (1 less than the units digit)<br><BR>\n" );
document.write( "The sum of the digits is 11:<br><BR>\n" );
document.write( "x+x+3+x+2 = 11<BR>\n" );
document.write( "3x+5=11<BR>\n" );
document.write( "3x=6<BR>\n" );
document.write( "x=2<br><BR>\n" );
document.write( "The tens digit is x=2; the units digit is x+3=5; the hundreds digit is x+2=4.<br><BR>\n" );
document.write( "ANSWER: 425<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );