document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551130>Question 551130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain two digit number has a value that is eight less than five times the sum of it's digits. The tens digit is 3 less than the units digit. Find the number. Please help me solve this! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359479 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=359479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number = xy<BR>\n" );
document.write( " two digit number has a value that is eight less than five times the sum of it's digits.<BR>\n" );
document.write( "xy=5(x+y)-8<BR>\n" );
document.write( "The tens digit is 3 less than the units digit.<BR>\n" );
document.write( "x=y-3\r<BR>\n" );
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document.write( "take y=4,so x=4-3=1  (if y=3,x=0 so we will not take this combination)<BR>\n" );
document.write( "xy=14<BR>\n" );
document.write( "check xy=5(x+y)-8<BR>\n" );
document.write( "=>14=5(1+4)-8<BR>\n" );
document.write( "=>14=25-8<BR>\n" );
document.write( "=>14=17 does not satisfies the equation\r<BR>\n" );
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document.write( "take y=5,so x=5-3=2  <BR>\n" );
document.write( "xy=25<BR>\n" );
document.write( "check xy=5(x+y)-8<BR>\n" );
document.write( "=>25=5(2+5)-8<BR>\n" );
document.write( "=>25=35-8<BR>\n" );
document.write( "=>25=27 does not satisfies the equation\r<BR>\n" );
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document.write( "take y=6,so x=6-3=6  <BR>\n" );
document.write( "xy=36<BR>\n" );
document.write( "check xy=5(x+y)-8<BR>\n" );
document.write( "=>36=5(3+6)-8<BR>\n" );
document.write( "=>36=45-8<BR>\n" );
document.write( "=>36=37 does not satisfies the equation\r<BR>\n" );
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document.write( "take y=7,so x=7-3=4  <BR>\n" );
document.write( "xy=47<BR>\n" );
document.write( "check xy=5(x+y)-8<BR>\n" );
document.write( "=>47=5(4+7)-8<BR>\n" );
document.write( "=>47=55-8<BR>\n" );
document.write( "=>47=47 satisfies the equation\r<BR>\n" );
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document.write( "so the original number is 47. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );