document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=333772>Question 333772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 yrs. ago a man's age was 3 times the square of his son's age . 3 yrs. hence his age will be 4 times his son's age. Find their present ages </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239185 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=239185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let m = man's present age<BR>\n" );
document.write( "Let s = son's present age<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"2 yrs. ago a man's age was 3 times the square of his son's age.\"<BR>\n" );
document.write( "m - 2 = 3(s - 2)^2<BR>\n" );
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document.write( "FOIL (s-2)(s-2)<BR>\n" );
document.write( "m - 2 = 3(s^2 - 4s + 4)<BR>\n" );
document.write( "m - 2 = 3s^2 - 12s + 12<BR>\n" );
document.write( "m = 3s^2 - 12s + 12 + 2<BR>\n" );
document.write( "m = 3s^2 - 12s + 14<BR>\n" );
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document.write( "\"3 yrs. hence his age will be 4 times his son's age.\"<BR>\n" );
document.write( "m + 3 = 4(s + 3)<BR>\n" );
document.write( "m + 3 = 4s + 12<BR>\n" );
document.write( "m = 4s + 12 - 3<BR>\n" );
document.write( "m = 4s + 9<BR>\n" );
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document.write( "Find their present ages<BR>\n" );
document.write( "Replace m with (4s+9) in the 1st equation<BR>\n" );
document.write( "4s + 9 = 3s^2 - 12s + 14<BR>\n" );
document.write( "0 = 3s^2 - 12s - 4s + 14 - 9<BR>\n" );
document.write( "0 = 3s^2 - 16s + 5<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(3s - 1)(s - 5) = 0<BR>\n" );
document.write( "s = 5 yrs is the reasonable answer for son's present age<BR>\n" );
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document.write( "Find M using  m = 4s + 9<BR>\n" );
document.write( "m = 4(5) + 9<BR>\n" );
document.write( "m = 29 yrs, man's present age<BR>\n" );
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document.write( "Check solution in the the statement:<BR>\n" );
document.write( "\"2 yrs. ago a man's age was 3 times the square of his son's age \"<BR>\n" );
document.write( "29 - 2 = 3(5-2)^2<BR>\n" );
document.write( "27 = 3(3^2); confirms our solutions<BR>\n" );
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