document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757039>Question 757039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a two digit number, sum of the digits is 10. if 3 is subtracted from tens places and 3 is added to ones place, then the two digits are equal. find 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 #460586 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the tens digit<BR>\n" );
document.write( "Let y = the units digit<BR>\n" );
document.write( "Then you have<BR>\n" );
document.write( "(1) x + y = 10 and<BR>\n" );
document.write( "(2) x - 3 = y + 3 or<BR>\n" );
document.write( "(3) x - y = 6<BR>\n" );
document.write( "Now add (1) and (3) to get<BR>\n" );
document.write( "(4) x + y + x - y = 10 + 6 or<BR>\n" );
document.write( "(5) 2*x = 16 or<BR>\n" );
document.write( "(6) x = 8<BR>\n" );
document.write( "Using (1) we get<BR>\n" );
document.write( "(7) 8 + y = 10 or<BR>\n" );
document.write( "(8) y = 2<BR>\n" );
document.write( "Let's check this,<BR>\n" );
document.write( "Is (8 - 3 = 2 + 3)?<BR>\n" );
document.write( "Is (5 = 5)? Yes<BR>\n" );
document.write( "Answer: The two digit number is 82. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );