document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201881>Question 201881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 years ago a man's age was 3 times the square of his son's age .3 years hence his age will be 4 times his son's age .find their present ages <BR>\n" );
document.write( "please help me to solve this problem  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152130 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=152130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=son's present age;(x-2)=son's age 2 years ago<BR>\n" );
document.write( "And let y=man's present age;(y-2)=man's age two years ago<BR>\n" );
document.write( "so:<BR>\n" );
document.write( "(y-2)=3(x-2)^2 or<BR>\n" );
document.write( "y-2=3(x^2-4x+4)<BR>\n" );
document.write( "y-2=3x^2-12x+12 <BR>\n" );
document.write( "y=3x^2-12x+14---------------eq1\r<BR>\n" );
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document.write( "(x+3)=son's age 3 years hence<BR>\n" );
document.write( "(y+3)=man's age 3 years hence<BR>\n" );
document.write( "so:<BR>\n" );
document.write( "(y+3)=4(x+3)<BR>\n" );
document.write( "y+3=4x+12<BR>\n" );
document.write( "y=4x+9------------------eq2 substitute y=4x+9 into eq1<BR>\n" );
document.write( "4x+9=3x^2-12x+14 <BR>\n" );
document.write( "3x^2-16x+5=0  quadratic in standard form and it can be factored<BR>\n" );
document.write( "(3x-1)(x-5)=0<BR>\n" );
document.write( "3x-1=0<BR>\n" );
document.write( "x=1/3 year old---Clearly this does not work because 2 years ago he would not have been born\r<BR>\n" );
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document.write( "and<BR>\n" );
document.write( "x-5=0<BR>\n" );
document.write( "x=5 years old-----------------son's present age<BR>\n" );
document.write( "substitute x=5 into eq 2<BR>\n" );
document.write( "y=4*5+9=29-------------------------man's present age\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "Two years ago<BR>\n" );
document.write( "5-2=3-----------son's age<BR>\n" );
document.write( "29-2=27----------mans present age<BR>\n" );
document.write( "27=3*3^2<BR>\n" );
document.write( "27=27<BR>\n" );
document.write( "and three years hence<BR>\n" );
document.write( "5+3=8 son's age<BR>\n" );
document.write( "and 29+3=32 man's age<BR>\n" );
document.write( "32=4*8<BR>\n" );
document.write( "32=32\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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