document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146473>Question 146473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a three digit no, the difference between the hundreds digit and its tens digit is equal to the difference between its tens digit and its units digit.Also the sum of the digits is 9. How many nos r possible which satisfies the above conditions..?\r<BR>\n" );
document.write( "\n" );
document.write( "(1)6  (2)7   (3)8   {4}9\r<BR>\n" );
document.write( "\n" );
document.write( "Ans i opted is 6....but given no is 9...could anyone pplz explain...?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107061 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107061\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're looking for a number ABC.<BR>\n" );
document.write( "You know that A can vary from (0,9).<BR>\n" );
document.write( "You know that B can vary from (0,9).<BR>\n" );
document.write( "You know that B can vary from (0,9).<BR>\n" );
document.write( "You know that <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=B-C ALIGN=MIDDLE  ALT=\"A-B=B-C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "because the difference between the hundreds digit and its tens digit is equal to the difference between its tens digit and its units digit.<BR>\n" );
document.write( "You also know that <BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC=9 ALIGN=MIDDLE  ALT=\"A%2BB%2BC=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "because the sum of the digits is 9.<BR>\n" );
document.write( "If we re-arrange eq. 1, you get,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=B-C ALIGN=MIDDLE  ALT=\"A-B=B-C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BC=2B ALIGN=MIDDLE  ALT=\"A%2BC=2B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If we re-arrange eq. 2, you get,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC=9 ALIGN=MIDDLE  ALT=\"A%2BB%2BC=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BC=9-B ALIGN=MIDDLE  ALT=\"A%2BC=9-B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the two right hand sides are equal they are equal to each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B=9-B ALIGN=MIDDLE  ALT=\"2B=9-B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3B=9 ALIGN=MIDDLE  ALT=\"3B=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=3 ALIGN=MIDDLE  ALT=\"B=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have the middle number. <BR>\n" );
document.write( "Using eq. 1, you get <BR>\n" );
document.write( "A is either greater than 3 or less than 3 from B. <BR>\n" );
document.write( "So it can either be 6 or 0.<BR>\n" );
document.write( "C is also either greater than 3 or less than 3 from B.<BR>\n" );
document.write( "So it can either be 0 or 6. <BR>\n" );
document.write( "ABC is then either 630 or 036. <BR>\n" );
document.write( "Usually 036 does not count as a 3 digit number.<BR>\n" );
document.write( "ABC=630.\r<BR>\n" );
document.write( "\n" );
document.write( "I'm not sure what the 1,2,3,4 choice are. Is that the first number.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );