document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161974>Question 161974</A>: <I><SPAN STYLE=\"word-break: break-all;\">   1. A man is 4 times as old as his son now. Six years ago, he was 7 times as ols as his son during that time . 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 #119366 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=boy's current age\r<BR>\n" );
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document.write( "4x=father's current age\r<BR>\n" );
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document.write( "The algebraic equation is as follows.We need to have the ages equal on both sides so we generate an equation that reflects their ages 6 years ago.\r<BR>\n" );
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document.write( "Using current age ratios to calculate their ages 6 years ago.\r<BR>\n" );
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document.write( "(4x-6)=father's age 6 years ago\r<BR>\n" );
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document.write( "x-6=age of son 6 years ago\r<BR>\n" );
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document.write( "4x-6+x-6=7(x-6)+(x-6)\r<BR>\n" );
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document.write( "Use the distributive property and simplify by combining like terms\r<BR>\n" );
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document.write( "5x-12=7x-42+x-6\r<BR>\n" );
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document.write( "5x-12=8x-48\r<BR>\n" );
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document.write( "Add 12 to both sides\r<BR>\n" );
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document.write( "Subtract 8x from both sides\r<BR>\n" );
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document.write( "-3x=-36\r<BR>\n" );
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document.write( "divide both sides by (-3)\r<BR>\n" );
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document.write( "x=12 is the son's current age<BR>\n" );
document.write( "4x=48 is the father's current age\r<BR>\n" );
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document.write( "Let's double check our answer by calulation their ages 6 years ago\r<BR>\n" );
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document.write( "12-6=6\r<BR>\n" );
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document.write( "48-8=42\r<BR>\n" );
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document.write( "Six years ago the father was 7x older than his son\r<BR>\n" );
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document.write( "6y=42\r<BR>\n" );
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document.write( "y=7. The answer is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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