document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24020>Question 24020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. Kwok is 6 years more than 3 times as old as her daughter.  Eight years ago she was 2 years less than 9 times as old as her daughter was then.  Find each of their ages.\r<BR>\n" );
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document.write( "And also:\r<BR>\n" );
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document.write( "The sum of 7 times Paul's age and 4 times Kent's age is 111.  Kent is 1 year less than four times as old as Paul is.  Find each of their ages.\r<BR>\n" );
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document.write( "I would like to see it worked out step by step, please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12690 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Mrs Kwok = 3x+6<BR>\n" );
document.write( "Daughter's age =x\r<BR>\n" );
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document.write( "Eight years ago = 3x+6-8 (mrs Kwok)<BR>\n" );
document.write( "Eight years ago = x-8 (daughter's age)\r<BR>\n" );
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document.write( "3x+6-8=9(x-8)-2<BR>\n" );
document.write( "3x-2=9x-72-2-2<BR>\n" );
document.write( "-6x-2=-74<BR>\n" );
document.write( "-6x=-72 Divide both sides by -6<BR>\n" );
document.write( "x = 12\r<BR>\n" );
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document.write( "3(12)+6=42\r<BR>\n" );
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document.write( "Hence Mrs. Kwok is 42 years old and her daughter is 12 years old.\r<BR>\n" );
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document.write( "2. Paul's age = x<BR>\n" );
document.write( "Kent's age = y\r<BR>\n" );
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document.write( "7x+4y=111<BR>\n" );
document.write( "4y=111-7x<BR>\n" );
document.write( "y=27.75-1.75x (subsitution)\r<BR>\n" );
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document.write( "\"Kent is 1 year less than four times as old as Paul is\"<BR>\n" );
document.write( "Kent = y<BR>\n" );
document.write( "Paul = 4x-1\r<BR>\n" );
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document.write( "y=4x-1 (substitute)<BR>\n" );
document.write( "(27.75-1.75x)=4x-1  simplify<BR>\n" );
document.write( "28.75=5.75x<BR>\n" );
document.write( "x=5\r<BR>\n" );
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document.write( "y=27.75-1.75(5)<BR>\n" );
document.write( "y=19\r<BR>\n" );
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document.write( "Hence Paul is 19 and Kent is 5.\r<BR>\n" );
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document.write( "Check: 4(19) + 7(5) = 111<BR>\n" );
document.write( "Paul.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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