document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669512>Question 669512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The tens digit of a two digit number is 3 times the units digit. if the digits are reversed, the new number is 54 less than the original number. Find the original number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416413 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=416413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The tens digit of a two digit number is 3 times the units digit. if the digits are reversed, the new number is 54 less than the original number. Find the original number.<BR>\n" );
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document.write( "Let the original number be 10t+u.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "t = 3u<BR>\n" );
document.write( "10u+t = 10t+u-54<BR>\n" );
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document.write( "Substitute and rearrange to solve for \"u\":<BR>\n" );
document.write( "9u -9(3u) = -54<BR>\n" );
document.write( "u - 3u = -6<BR>\n" );
document.write( "u = 3<BR>\n" );
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document.write( "Solve for \"t\":<BR>\n" );
document.write( "t = 3u<BR>\n" );
document.write( "t = 9<BR>\n" );
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document.write( "Original Number: 10t+u = 93<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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