document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133849>Question 133849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the 2-digit number whose tens digit is 3 less than the units digit and the original number is 6 more than 4 times the sum of the digits. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97922 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=97922\">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<BR>\n" );
document.write( "-----------tens digit is 3 less than the units digit <BR>\n" );
document.write( "x=y-3----------------------------------------------------eq1<BR>\n" );
document.write( "--------------original number is 6 more than 4 times the sum of the digits.\r<BR>\n" );
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document.write( "(10x+y)-6=4(x+y) simplify\r<BR>\n" );
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document.write( "10x+y-6=4x+4y subtract 4x and 4y from and add 6 to both sides\r<BR>\n" );
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document.write( "10x-4x+y-4y-6+6=4x-4x+4y-4y+6 collect like terms\r<BR>\n" );
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document.write( "6x-3y=6  divide both sides by 3<BR>\n" );
document.write( "2x-y=2--------------------------------------eq2<BR>\n" );
document.write( " substitute x=y-3 from eq1 into eq2\r<BR>\n" );
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document.write( "2(y-3)-y=2 or<BR>\n" );
document.write( "2y-6-y=2 add 6 to both sides<BR>\n" );
document.write( "2y-6+6-y=2+6  collect like terms<BR>\n" );
document.write( "y=8-----------------------------------units digit<BR>\n" );
document.write( "x=y-3=8-3=5------------------------------tens digit\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "-------------------tens digit is 3 less than the units digit <BR>\n" );
document.write( "8-5=3<BR>\n" );
document.write( "3=3<BR>\n" );
document.write( "--------------original number is 6 more than 4 times the sum of the digits\r<BR>\n" );
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document.write( "58=4(5+8)+6<BR>\n" );
document.write( "58=52+6<BR>\n" );
document.write( "58=58\r<BR>\n" );
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document.write( "Hope this helps--ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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