document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551146>Question 551146</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of a certain two digit number is 4 more than six times the sum of it's digits. If the digits are reversed, the resulting number is 18 less than the original number. What is the original number? Please hel </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359448 by </B><A HREF=/tutors/aboutme.mpl?userid=mathstutor458><B>mathstutor458(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathstutor458><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=359448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number is xy<BR>\n" );
document.write( "The value of a certain two digit number is 4 more than six times the sum of it's digits.<BR>\n" );
document.write( "so,xy=6(x+y)+4<BR>\n" );
document.write( "If the digits are reversed, the resulting number is 18 less than the original number.<BR>\n" );
document.write( "which means, yx=xy-18=6(x+y)+4-18=6(x+y)-14<BR>\n" );
document.write( "here x,y values must be even numbers to satisfies the equation.<BR>\n" );
document.write( "let us take the numbers randomly<BR>\n" );
document.write( "let x=4,y=2,so xy=42 (in this problem x value must be greater because,yx=xy-18)\r<BR>\n" );
document.write( "\n" );
document.write( " yx=6(x+y)-14 = 6(4+2)-14 = 36-14=22 doesnot satisfies the condition<BR>\n" );
document.write( "let x=6,y=2,so xy=62<BR>\n" );
document.write( "yx=6(x+y)-14 = 6(6+2)-14 = 48-14=34 doesnot satisfies the condition\r<BR>\n" );
document.write( "\n" );
document.write( "let x=6,y=4,so xy=64<BR>\n" );
document.write( "yx=6(x+y)-14 = 6(6+4)-14 =60-14=46<BR>\n" );
document.write( "46=46 satisfies the equation<BR>\n" );
document.write( "so,original number is 64. </SPAN>\n" );
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