document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463455>Question 463455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> seven years ago, Mary was 6 times as old as Cora. in one year, she will be only twice as old as Cora. Find their present ages. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317536 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let M = age of Mary<BR>\n" );
document.write( "    C = age of Cora\r<BR>\n" );
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document.write( "1st equation:<BR>\n" );
document.write( "M-7 = 6(C-7)<BR>\n" );
document.write( "M-7 = 6C-42<BR>\n" );
document.write( "2nd equation:<BR>\n" );
document.write( "M+1 = 2(C+1)<BR>\n" );
document.write( "M+1 = 2C+2\r<BR>\n" );
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document.write( "Subtract the 1st equation by 2nd equation to eliminate M<BR>\n" );
document.write( "-7-1 = 6C-42-2c-2<BR>\n" );
document.write( "-8+44 = 4C<BR>\n" );
document.write( "4C = 36<BR>\n" );
document.write( "C = 9\r<BR>\n" );
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document.write( "Substitute C = 9 in 2nd equation to get<BR>\n" );
document.write( "M+1 = 2*9 +2<BR>\n" );
document.write( "M = 19\r<BR>\n" );
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document.write( "Mary is 19 years old.<BR>\n" );
document.write( "Cora is 9 years old. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );