document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214932>Question 214932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need your help with this digit problem: The sum of the digits of a two-digit number is 12. The value of the number is two more than 11 times tens 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 #162392 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need your help with this digit problem: The sum of the digits of a two-digit number is 12. The value of the number is two more than 11 times tens digit. Find the number.<BR>\n" );
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document.write( "x = first digit<BR>\n" );
document.write( "y = second digit<BR>\n" );
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document.write( "The sum of the digits of a two-digit number is 12.<BR>\n" );
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document.write( "this means that x + y = 12<BR>\n" );
document.write( "x is the tens digit.<BR>\n" );
document.write( "y is the units digit.<BR>\n" );
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document.write( "The value of the number is two more than 11 times tens digit.<BR>\n" );
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document.write( "10 * x + y is the value of the number.<BR>\n" );
document.write( "11 * x + 2 is two more than the value of the tens digit * 11.<BR>\n" );
document.write( "Your equation here is:<BR>\n" );
document.write( "10*x + y = 11*x + 2<BR>\n" );
document.write( "This says that the value of your number (10*x + y) is 2 more than 11 times the tens digit (11*x + 2)<BR>\n" );
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document.write( "You have 2 equations that need to be solved simultaneously.<BR>\n" );
document.write( "They are:<BR>\n" );
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document.write( "x + y = 12<BR>\n" );
document.write( "and<BR>\n" );
document.write( "10*x + y = 11*x + 2<BR>\n" );
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document.write( "You can solve for y in your second equation of 10*x + y = 11*x + 2 to get:<BR>\n" );
document.write( "y = x + 2<BR>\n" );
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document.write( "You can substitute for y in your first equation to get:<BR>\n" );
document.write( "x + (x + 2) = 12<BR>\n" );
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document.write( "Remove parentheses to get:<BR>\n" );
document.write( "2x + 2 = 12<BR>\n" );
document.write( "Solve for x to get:<BR>\n" );
document.write( "x = 5<BR>\n" );
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document.write( "If x = 5, then x + y = 12 becomes:<BR>\n" );
document.write( "5 + y = 12<BR>\n" );
document.write( "Solve for y to get:<BR>\n" );
document.write( "y = 7<BR>\n" );
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document.write( "You have:<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "y = 7<BR>\n" );
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document.write( "Sum of the digits is 12 which is good.<BR>\n" );
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document.write( "The number is xy = 57<BR>\n" );
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document.write( "The value of the number is 2 more than 11 times the tens digit.<BR>\n" );
document.write( "11 * the tens digit is 11 * 5 = 55<BR>\n" );
document.write( "55 + 2 = 57<BR>\n" );
document.write( "This is true confirming the values for x and y are good.<BR>\n" );
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document.write( "Your answer is:<BR>\n" );
document.write( "Number is 57<BR>\n" );
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document.write( " </SPAN>\n" );
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