document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312394>Question 312394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Adding two years to the age of a boy would make him a quartet of his father's age. Five years ago his father was one year less than ten times his son's age. Determine the age of the boy and his father </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223306 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have a system of equations in two variables expressed as an age question. \r<BR>\n" );
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document.write( "Let: b = boy's age now\r<BR>\n" );
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document.write( "Let f = father's age now\r<BR>\n" );
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document.write( "first sentence and equation:\r<BR>\n" );
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document.write( "b + 2 = f/4, f = 4b + 8 eq.1\r<BR>\n" );
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document.write( "2nd sentence and equation:\r<BR>\n" );
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document.write( "5 yrs ago, their ages were:\r<BR>\n" );
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document.write( "For the boy : b - 5 \r<BR>\n" );
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document.write( "for the father: f - 5\r<BR>\n" );
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document.write( "f - 5 = 10 (b-5) - 1\r<BR>\n" );
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document.write( "simplifying\r<BR>\n" );
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document.write( "f = 10 b - 46 eq.2\r<BR>\n" );
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document.write( "Equate equations 1 and 2\r<BR>\n" );
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document.write( "4b + 8 = 10b - 46\r<BR>\n" );
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document.write( "b = 9 yrs. old\r<BR>\n" );
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document.write( "The boy is 9 years old.\r<BR>\n" );
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document.write( "f = 4(9) + 8\r<BR>\n" );
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document.write( "f = 44 yrs.old\r<BR>\n" );
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document.write( "The father is 44 years old.\r<BR>\n" );
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document.write( "Understand?<BR>\n" );
document.write( " </SPAN>\n" );
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