document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20668>Question 20668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help with this problem?\r<BR>\n" );
document.write( "\n" );
document.write( "The tens digit of a two-digit number is 7 less than twice the units digit. If the digits are reversed, the new number is 13 more than twice the original number. Find the original number.\r<BR>\n" );
document.write( "\n" );
document.write( "I started with\r<BR>\n" );
document.write( "\n" );
document.write( "x = units<BR>\n" );
document.write( "y = tens -  [2x-7=y]\r<BR>\n" );
document.write( "\n" );
document.write( "2(10y + x )+ 13 = 10x + y<BR>\n" );
document.write( "but end up with<BR>\n" );
document.write( "y = 8/19x - 13/19\r<BR>\n" );
document.write( "\n" );
document.write( "2x-7 = 8/19x + 13/9<BR>\n" );
document.write( "but ended up with<BR>\n" );
document.write( "30/19x = 76/9\r<BR>\n" );
document.write( "\n" );
document.write( "I know the answer is 14<BR>\n" );
document.write( "but I am so lost!l Please help!\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9944 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=9944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Answer 9943 by venugopalramana(368) About Me  on 2005-11-27 11:27:42 (Show Source):<BR>\n" );
document.write( "SEE MY COMMENTS IN CAPITAL LETTERS<BR>\n" );
document.write( "Can anyone help with this problem?<BR>\n" );
document.write( "The tens digit of a two-digit number is 7 less than twice the units digit. If the digits are reversed, the new number is 13 more than twice the original number. Find the original number.<BR>\n" );
document.write( "I started with<BR>\n" );
document.write( "x = units............OK<BR>\n" );
document.write( "y = tens .....SO THE NUMBER IS YX.....AND ...[2x-7=y]......GOOD..NOW YOU BETTER WRITE THE VALUE OF THIS NUMBER<BR>\n" );
document.write( "VALUE OF NUMBER = 10Y+X=10(2X-7)+X=20X-70+X=21X-70<BR>\n" );
document.write( "NOW THE DIGITS ARE REVERSED...SO THE NUMBER IS XY...THE VALUE OF THIS NUMBER IS<BR>\n" );
document.write( "10X+Y =10X+2X-7=12X-7...NOW WE ARE GIVEN THAT<BR>\n" );
document.write( "2*(21X-70)+13=12X-7.<BR>\n" );
document.write( "42X-140+13=12X-7<BR>\n" );
document.write( "42X-12X=140-13-7=120<BR>\n" );
document.write( "30X=120<BR>\n" );
document.write( "X=4<BR>\n" );
document.write( "SO Y = 2X-7=2*4-7=1<BR>\n" );
document.write( "SO THE ORIGINAL NUMBER IS YX = 14....WHICH YOU CAN EASILY VERIFY..NOW YOU DID EXTREMELY WELL I SHOULD SAY BUT MADE A SMALL AITHMATIC ERROR AS SHOWN BELOW<BR>\n" );
document.write( "2(10y + x )+ 13 = 10x + y..............EXCELLENT<BR>\n" );
document.write( "but end up with<BR>\n" );
document.write( "y = 8/19x - 13/19...VERY GOOD<BR>\n" );
document.write( "2x-7 = 8/19x + 13/9..............HOW YOU MADE A SIMPLE COPYING MISTAKE..IT IS<BR>\n" );
document.write( "2X-7=(8/19)X-13/19..SO<BR>\n" );
document.write( "(30/19)X=120/19<BR>\n" );
document.write( "X=(120/19)*(19/30)=4..GOT IT ....I AM REALLY IMPRESSED BY YOUR WORKING IT IS VERY GOOD AND YOU GOT THE ANSWER ALMOST EXCEPT FOR THAT SIMPLE MITAKE...CONCENTRATE A BIT MORE AND YOU WILL SUCCEED..GOD LUCK<BR>\n" );
document.write( "but ended up with<BR>\n" );
document.write( "30/19x = 76/9.....<BR>\n" );
document.write( "I know the answer is 14<BR>\n" );
document.write( "but I am so lost!l Please help!<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Sandy<BR>\n" );
document.write( "0 solutions </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );