document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601346>Question 601346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 2 digit no is such that the product of its digits is 35. If 18 is added to the Number, the digits interchange their places. 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 #379712 by </B><A HREF=/tutors/aboutme.mpl?userid=flame8855><B>flame8855(424)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=flame8855><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=flame8855><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the ones digit and y be the tenth digit<BR>\n" );
document.write( "xy=35<BR>\n" );
document.write( "the number is equal to 10y+x<BR>\n" );
document.write( "if 18 is added<BR>\n" );
document.write( "10y +x+ 18 <BR>\n" );
document.write( "digit are interchanged so the number is xy, 10x+y<BR>\n" );
document.write( "so 10y +x+ 18 = 10x+y<BR>\n" );
document.write( "solve the two equations<BR>\n" );
document.write( "9y-9x+18=0<BR>\n" );
document.write( "y-x-2=0<BR>\n" );
document.write( "x=y-2<BR>\n" );
document.write( "xy=35<BR>\n" );
document.write( "(y-2)(y)=35<BR>\n" );
document.write( "y^2 -2y-35 =0<BR>\n" );
document.write( "(y-7) (y+5) =0<BR>\n" );
document.write( "y=7 so x = 5<BR>\n" );
document.write( "y = -5 is rejected since -5 is negative<BR>\n" );
document.write( "the number is 35\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );