document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91492>Question 91492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number is 6 times the sum of its digits. The tens digit is 1 greater than the units digit. 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 #66444 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=66444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the tens digit<BR>\n" );
document.write( "And let y=the units digit\r<BR>\n" );
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document.write( "Then the number (N)=10x+y\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "10x+y=6(x+y)-----------------------eq1\r<BR>\n" );
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document.write( "We are also told that:\r<BR>\n" );
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document.write( "x=y+1-------------------eq2\r<BR>\n" );
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document.write( "Lets simplify eq1:\r<BR>\n" );
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document.write( "10x+y=6(x+y)  get rid of parens<BR>\n" );
document.write( "10x+y=6x+6y  subtract y and also 6x from both sides\r<BR>\n" );
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document.write( "10x+y-y-6x=6x-6x+6y-y  collect like terms\r<BR>\n" );
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document.write( "4x=5y  divide both sides by 4\r<BR>\n" );
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document.write( "x=(5/4)y-------------------------eq1\r<BR>\n" );
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document.write( "substitute x=(5/4)y into eq2 and we get\r<BR>\n" );
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document.write( "(5/4)y=y+1  multiply both sides by 4\r<BR>\n" );
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document.write( "5y=4y+4  subtract 4y from both sides\r<BR>\n" );
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document.write( "5y-4y=4\r<BR>\n" );
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document.write( "y=4------------------the unit digit\r<BR>\n" );
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document.write( "substitute y=4 into eq1:\r<BR>\n" );
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document.write( "x=(5/4)*4=20/4=5-----------------------the tens digit\r<BR>\n" );
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document.write( "The number =10x+y=10*5+4=54---------the number\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "sum of digits is 5+4=9<BR>\n" );
document.write( "54=6*9\r<BR>\n" );
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document.write( "the tens digit,5, is 1 greater than the unit digit 4\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
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