document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53303>Question 53303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the units digit and 3 times the tens digit of a 2 digit number is 14.  The sum of the tens digit and twice the units digit is 18.  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 #35529 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=35529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the units digit and 3 times the tens digit of a 2 digit number is 14. The sum of the tens digit and twice the units digit is 18. Find the number.<BR>\n" );
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document.write( "A two digit number; let x = the 10s digit and y = units digit<BR>\n" );
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document.write( "From each sentence write an expression:<BR>\n" );
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document.write( "\"sum of the units digit and 3 times the tens digit is 14.\"<BR>\n" );
document.write( "       y +  3x = 14<BR>\n" );
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document.write( "\"The sum of the tens digit and twice the units digit is 18.\"<BR>\n" );
document.write( "       x  +  2y = 18<BR>\n" );
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document.write( "Two equations, two unknowns:<BR>\n" );
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document.write( "Using the first equation:<BR>\n" );
document.write( "y + 3x = 14<BR>\n" );
document.write( "Rearrange it<BR>\n" );
document.write( "y = 14-3x, substitute this for y in the 2nd equation & solve for x:<BR>\n" );
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document.write( "x + 2(14-3x) = 18<BR>\n" );
document.write( "x + 28 - 6x  = 18<BR>\n" );
document.write( "    -5x = 18 - 28<BR>\n" );
document.write( "      x = -10/-5<BR>\n" );
document.write( "      x = +2<BR>\n" );
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document.write( "y = 14 - 3x<BR>\n" );
document.write( "y = 14 - 3(2)<BR>\n" );
document.write( "y = 8<BR>\n" );
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document.write( "Our number is 28, check it in the original statement:<BR>\n" );
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document.write( "\"The sum of the tens digit and twice the units digit is 18.\"<BR>\n" );
document.write( "                2 + 2(8) = 18<BR>\n" );
document.write( "and<BR>\n" );
document.write( "\"sum of the units digit and 3 times the tens digit is 14.\"<BR>\n" );
document.write( "               8 + 3(2) = 14\r<BR>\n" );
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document.write( " </SPAN>\n" );
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