document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022958>Question 1022958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three times the tens digit of a certain 2 digit number is 2 more than four times the units digit. The difference between the given number and the number obtained by reversing the digits is two less than twice the sum of the digits. Find the number?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638540 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=638540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three times the tens digit of a certain 2 digit number is 2 more than four times the units digit. The difference between the given number and the number obtained by reversing the digits is two less than twice the sum of the digits. Find the number?<BR>\n" );
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document.write( "Let the number be 10t + u<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "3t = 4u+2<BR>\n" );
document.write( "10t+u-(10u+t) = 2(t+u)-2<BR>\n" );
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document.write( "Rearrange::<BR>\n" );
document.write( "3t - 4u = 2<BR>\n" );
document.write( "9t - 9u = 2t+2u-2<BR>\n" );
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document.write( "3t-4u = 2<BR>\n" );
document.write( "7t - 11u = -2<BR>\n" );
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document.write( "Modify for elimination::<BR>\n" );
document.write( "21t - 28u = 14<BR>\n" );
document.write( "21t - 33u = -6<BR>\n" );
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document.write( "Subtract and solve for \"u\"::<BR>\n" );
document.write( "5u = 20<BR>\n" );
document.write( "u = 4<BR>\n" );
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document.write( "Solve for \"t\"::<BR>\n" );
document.write( "3t - 4u = 2<BR>\n" );
document.write( "3t - 16 = 2<BR>\n" );
document.write( "3t = 18<BR>\n" );
document.write( "t = 6<BR>\n" );
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document.write( "Ans:: 10t+u = 64<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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