document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680219>Question 680219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After 6 years the ratio of age of X and Y will be 5:6. Before 6 years it was 3:4. Find the age of younger one. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422362 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=422362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"After 6 years the ratio of age of X and Y will be 5:6.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%29%2F%28%28y%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%29%2F%28%28y%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "6(x+6) = 5(y+6)<BR>\n" );
document.write( "6x + 36 = 5y + 30<BR>\n" );
document.write( "6x - 5y = 30 - 36<BR>\n" );
document.write( "6x - 5y = -6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" Before 6 years it was 3:4.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-6%29%29%2F%28%28y-6%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-6%29%29%2F%28%28y-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "4(x-6) = 3(y-6)<BR>\n" );
document.write( "4x - 24 = 3y - 18<BR>\n" );
document.write( "4x - 3y = -18 + 24<BR>\n" );
document.write( "4x - 3y = 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by -3, the 2nd equation by 5<BR>\n" );
document.write( "-18x + 15y = 18<BR>\n" );
document.write( " 20x - 15y = 30<BR>\n" );
document.write( "-----------------adding eliminates y, findx<BR>\n" );
document.write( "2x = 48<BR>\n" );
document.write( "x = 24 yrs old<BR>\n" );
document.write( ":<BR>\n" );
document.write( "find y<BR>\n" );
document.write( "4x - 3y = 6<BR>\n" );
document.write( "4(24) - 3y = 6<BR>\n" );
document.write( "96 - 3y = 6<BR>\n" );
document.write( "-3y = 6 - 96<BR>\n" );
document.write( "-3y = -90<BR>\n" );
document.write( "y = -90/-3<BR>\n" );
document.write( "y = 30 yrs old<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the age of younger one. 24 yrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the 1st statement;<BR>\n" );
document.write( "\"After 6 years the ratio of age of X and Y will be 5:6.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%29%2F%28%28y%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%29%2F%28%28y%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2824%2B6%29%29%2F%28%2830%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%2824%2B6%29%29%2F%28%2830%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F36 ALIGN=MIDDLE  ALT=\"30%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );