document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139578>Question 139578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The units digit of a number is 4 more than the tens digit.  If the digits are reversed, the new number is 1 less than twice the origional number.  Use a system of equations and substitution to find the number.\r<BR>\n" );
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document.write( "I need to know how to set up the system of equations for this problem and what steps to take to solve it.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101774 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number ab<BR>\n" );
document.write( "The units digit of a number is 4 more than the tens digit\r<BR>\n" );
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document.write( "then b=a+4\r<BR>\n" );
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document.write( "If the digits are reversed, the new number is 1 less than twice the origional number.<BR>\n" );
document.write( "The number with the digits reversed is ba\r<BR>\n" );
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document.write( "then 10b+a=2(10a+b)-1\r<BR>\n" );
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document.write( "substitute in the last equation<BR>\n" );
document.write( "then\r<BR>\n" );
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document.write( "10(a+4)+a=2(10a+(a+4))-1<BR>\n" );
document.write( "11a+40=20a+2(a+4)-1<BR>\n" );
document.write( "11a+40=22a+7<BR>\n" );
document.write( "-11a=-33<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "b=7\r<BR>\n" );
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document.write( "Answer: the number is 37\r<BR>\n" );
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