document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196797>Question 1196797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This year, alex's grandfather's age is 6 times of Alex's age. After a few years, Alex's grandfather's age will be 5 times of Alex's age. After another few years, Alex's grandfather's age will be 4 times of Alex's age. What is Alex's grandfather's age this year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829799 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=829799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This year, alex's grandfather's age is 6 times of Alex's age.<BR>\n" );
document.write( " After a few years, Alex's grandfather's age will be 5 times of Alex's age.<BR>\n" );
document.write( " After another few years, Alex's grandfather's age will be 4 times of Alex's age.<BR>\n" );
document.write( " What is Alex's grandfather's age this year?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = Alex's present age<BR>\n" );
document.write( "Grandfather is 6 time Alex's, therefore:<BR>\n" );
document.write( "let 6a = grandfathers present age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let y = \"another few years\"<BR>\n" );
document.write( "let x = a few more years<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"another few years\" equation<BR>\n" );
document.write( "6a + y = 5(a+y)<BR>\n" );
document.write( "6a + y = 5a + 5y<BR>\n" );
document.write( "6a - 5a = 5y - y<BR>\n" );
document.write( "a = 4y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a \"few more years\" equation<BR>\n" );
document.write( "6a + x = 4(a+x)<BR>\n" );
document.write( "6a + x = 4a + 4x<BR>\n" );
document.write( "6a - 4a = 4x - x<BR>\n" );
document.write( "2a = 3x<BR>\n" );
document.write( "a = 1.5x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a = a, therefore<BR>\n" );
document.write( "4y = 1.5x<BR>\n" );
document.write( "we want integers here, therefore<BR>\n" );
document.write( "8y = 3x <BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
document.write( "y and x have to be single digit integers therefore<BR>\n" );
document.write( "y = 3 yrs and x = 8 yrs<BR>\n" );
document.write( ": <BR>\n" );
document.write( "find a<BR>\n" );
document.write( "a = 4y<BR>\n" );
document.write( "a = 4(3)<BR>\n" );
document.write( "a = 12 yrs is Alex's age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6(12) = 72 yrs is grandfather's age\r<BR>\n" );
document.write( "\n" );
document.write( "You can substitute in the 3 yr and 8 yr equations to confirm this </SPAN>\n" );
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