document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=776905>Question 776905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let the daughter's age be x<BR>\n" );
document.write( "Let the father's age be 4x<BR>\n" );
document.write( "3 years ago: Daughter's age = x-3<BR>\n" );
document.write( "Father's age = 4x-3<BR>\n" );
document.write( "Product of their ages:( x-3)(4x-3)=430<BR>\n" );
document.write( "Opening the bracket and applying quadratic formula method,  we shall have the roots as x= 12.3 and -8.6 <BR>\n" );
document.write( "So, taking the positive value of x= 12.3years.<BR>\n" );
document.write( "Present ages:<BR>\n" );
document.write( "Daughter's (x-3)years = 12.3-3 =9.30years (9 years 3 months)<BR>\n" );
document.write( "Father's age: (4x-3)years= 4×12.3-3 = 46.21years (46 years 2 months 1day)\r<BR>\n" );
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document.write( "Checking:<BR>\n" );
document.write( "9.30×46.21= 429.753 = 430 (approximated) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #473801 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=473801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3 years ago a father was 4 times as old as his daughter is now. The product of their ages is 430. Calculate their present ages.\r<BR>\n" );
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document.write( "Let daughter's, and father's current ages be D, and F, respectively\r<BR>\n" );
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document.write( "Then: F - 3 = 4D ----- F = 4D + 3 ----- eq (i)\r<BR>\n" );
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document.write( "Also FD = 430 ------ eq (ii)\r<BR>\n" );
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document.write( "D(4D + 3) = 430 ----- Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4D+%2B+3 ALIGN=MIDDLE  ALT=\"4D+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > for F in eq (ii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4D%5E2+%2B+3D+-+430+=+0 ALIGN=MIDDLE  ALT=\"4D%5E2+%2B+3D+-+430+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve this to get daughter's age. Then find father's: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=430%2FD ALIGN=MIDDLE  ALT=\"430%2FD\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You should get:\r<BR>\n" );
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document.write( "Daughter's current age: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2810%29 ALIGN=MIDDLE  ALT=\"highlight_green%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Father's current age: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2843%29 ALIGN=MIDDLE  ALT=\"highlight_green%2843%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can do the check!! \r<BR>\n" );
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document.write( "Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com </SPAN>\n" );
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