document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=832726>Question 832726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tony is half his father Simon's age. In 10 years, Tony will be three-fifths Simon's age. Ten years ago, Tony was one-third Simon's age. How old are Tony and Simon now?<BR>\n" );
document.write( "Please help I simply can not get my head around this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502175 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=502175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be Simon's age, then x/2 is Tony's age<BR>\n" );
document.write( "we are given x/2 +10 = 3(x+10) / 5  and<BR>\n" );
document.write( "x/2 -10 = (x-10) / 3<BR>\n" );
document.write( "either equation will give the same answer for x,<BR>\n" );
document.write( "solve first equation equation for x<BR>\n" );
document.write( "(x+20)/2 = (3x+30) / 5<BR>\n" );
document.write( "cross multiply both fractions<BR>\n" );
document.write( "5x +100 = 6x +60<BR>\n" );
document.write( "x = 40<BR>\n" );
document.write( "so Simon is 40 and Tony is 20<BR>\n" );
document.write( "check our answers<BR>\n" );
document.write( "10 years from now Simon is 50 and Tony is 30, so Tony is 30/50 or 3/5 Simon's age<BR>\n" );
document.write( "10 years ago Simon is 30 and Tony is 10, so Tony is 10/30 or 1/3 Simon's age<BR>\n" );
document.write( "answer checks   :-)\r<BR>\n" );
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