document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117034>Question 1117034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The digit in the tens place of a two-digit number is four more than twice the digit in the ones place. The new number obtained by reversing the order of the digits of the original number is 54 less than the original number. Use a system of equations in two variables to 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 #731982 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=731982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = the 10's digit<BR>\n" );
document.write( "let b = the units<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( "The digit in the tens place of a two-digit number is four more than twice the<BR>\n" );
document.write( " digit in the ones place.<BR>\n" );
document.write( "a = 2b + 4<BR>\n" );
document.write( " The new number obtained by reversing the order of the digits of the original number is 54 less than the original number.<BR>\n" );
document.write( "10a + b = 10b + a + 54<BR>\n" );
document.write( "10a - a = 10b - b + 54<BR>\n" );
document.write( "9a = 9b + 54<BR>\n" );
document.write( "simplify, divide by 9<BR>\n" );
document.write( "a = b + 6<BR>\n" );
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document.write( " Use a system of equations in two variables to find the original number.<BR>\n" );
document.write( "a = a, therefore<BR>\n" );
document.write( "2b + 4 = b + 6<BR>\n" );
document.write( "2b - b = 6 - 4<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "find a<BR>\n" );
document.write( "a = 2 + 6<BR>\n" );
document.write( "a = 8<BR>\n" );
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document.write( "Original number 82<BR>\n" );
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document.write( ";<BR>\n" );
document.write( "Check in the statement<BR>\n" );
document.write( "\"The new number obtained by reversing the order of the digits of the original number is 54 less than the original number.\"<BR>\n" );
document.write( "82 = 28 + 54 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );