document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696128>Question 696128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a two digit integer that is increased by 1/5 of its value if its digit are reversed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428813 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10x+y=the integer<BR>\n" );
document.write( "When we reverse the digits, we have:<BR>\n" );
document.write( "10y+x, soooo<BR>\n" );
document.write( "10y+x=10x+y+(1/5)*(10x+y)<BR>\n" );
document.write( "10y+x=10x+y+2x+y/5<BR>\n" );
document.write( "10y-(6/5)y=11x<BR>\n" );
document.write( "(44/5)y=11x<BR>\n" );
document.write( "x=((44/5)y)/11<BR>\n" );
document.write( "x=(44/55)y or<BR>\n" );
document.write( "x=(4/5)y<BR>\n" );
document.write( "y=5; x=4  This is the only possibility for 2-digit integers<BR>\n" );
document.write( "So the integer has to be 45<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "54=45+(1/5)*45=54\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
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