document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802716>Question 802716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the ages of a son and his father is 35 and the product of their ages is 150. Find their ages.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483978 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the ages of a son and his father is 35<BR>\n" );
document.write( "x + y = 35<BR>\n" );
document.write( "the product of their ages is 150. <BR>\n" );
document.write( "xy = 150<BR>\n" );
document.write( "x = 150/y<BR>\n" );
document.write( "Substitute x = 150/y into<BR>\n" );
document.write( "x + y = 35<BR>\n" );
document.write( "150/y + y = 35<BR>\n" );
document.write( "Common denominator = y<BR>\n" );
document.write( "150 + y^2 = 35y<BR>\n" );
document.write( "y^2 - 35y + 150 = 0<BR>\n" );
document.write( "(y - 5)(y - 30)<BR>\n" );
document.write( "Son's age is 5 years old.<BR>\n" );
document.write( "The father's age is 30 years old.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-)<BR>\n" );
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