document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262481>Question 262481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah is 5 times older than her grandaughter. If the difference between their ages is 40, how old is her granddaughter? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193400 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sarah is 5 times older than her grandaughter. If the difference between their ages is 40, how old is her granddaughter?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x be the grandaughter's age and y be Sarah's age. Then from the two statements we know that:\r<BR>\n" );
document.write( "\n" );
document.write( "1.) y = 5*x<BR>\n" );
document.write( "2.) y - x = 40 \r<BR>\n" );
document.write( "\n" );
document.write( "Substituting 5x for y in equation 2.):\r<BR>\n" );
document.write( "\n" );
document.write( "5x - x = 40<BR>\n" );
document.write( "4x = 40<BR>\n" );
document.write( "x = 10 (the grandaughter's age)\r<BR>\n" );
document.write( "\n" );
document.write( "Calculate Sarah's age from 1.) as 5*x = 5*10 = 50\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );