document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515292>Question 515292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1 year ago,a man was 8 times as old as his son.now his age is equal to the square of his son's age.find their ages </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343921 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "Present age of man = m<BR>\n" );
document.write( "Present age of son = s\r<BR>\n" );
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document.write( "now his age is equal to the square of his son's age<BR>\n" );
document.write( "m=s^2...........(1)<BR>\n" );
document.write( "1 year ago<BR>\n" );
document.write( "m-1=s-1<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "man was 8 times as old as his son<BR>\n" );
document.write( "m-1=8(s-1)<BR>\n" );
document.write( "m-1=8s-8<BR>\n" );
document.write( "m=8s-8+1<BR>\n" );
document.write( "m=8s-7\r<BR>\n" );
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document.write( "Put the value of m from (1) to above equation<BR>\n" );
document.write( "s^2=8s-7<BR>\n" );
document.write( "s^2-8s+7=0<BR>\n" );
document.write( "s^2-7s-s+7=0<BR>\n" );
document.write( "s(s-7)-1(s-7)=0<BR>\n" );
document.write( "(s-7)(s-1)=0<BR>\n" );
document.write( "s-7=0 or s-1=o<BR>\n" );
document.write( "s=7 or s=1\r<BR>\n" );
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document.write( "Present age of son is 7 years old or 1 year old, but we have been told that the man age one years ago was 8 times the son's age. If we assume that son is 1 year old it means one years back he is age was 0 and the square of the 0 will remain 0, so present age of son cannot be 1 year, Son is 7 years old.\r<BR>\n" );
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document.write( "S=7<BR>\n" );
document.write( "Put the value of s in equaton (1)<BR>\n" );
document.write( "m=s^2<BR>\n" );
document.write( "m=7^2<BR>\n" );
document.write( "m=49\r<BR>\n" );
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document.write( "Present age of man = m = 49 years old<BR>\n" );
document.write( "Present age of son = s = 7 years old\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );