document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30227>Question 30227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm such a dunce with Math that I'm not even sure if my question is an equation.  I have the following word problem.\r<BR>\n" );
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document.write( "Rick is 6 years older than Nick.  In 4 years he will be twice as old as Nick.  In 10 years Nick will be 2/3 Rick's age.  How old are each of them?\r<BR>\n" );
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document.write( "By trial and error I solved the problem as 8 & 2.  I can present the problem as x = y + 4,<BR>\n" );
document.write( "x + 4 = y + 4 + 4, and<BR>\n" );
document.write( "(x + 10)* 2 = (y + 10)* 3\r<BR>\n" );
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document.write( "Is there a mathmatical way to solve this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16926 by </B><A HREF=/tutors/aboutme.mpl?userid=atif.muhammad><B>atif.muhammad(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=atif.muhammad><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=16926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Now:\r<BR>\n" );
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document.write( "Nick's age = x yrs\r<BR>\n" );
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document.write( "Rick is 6 years old than Nick so his age is (x+6) yrs\r<BR>\n" );
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document.write( "In 4 years:\r<BR>\n" );
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document.write( "Rick's age now will be (x+6) +4 = (x+10) yrs\r<BR>\n" );
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document.write( "Nick's age = (x+4) yrs\r<BR>\n" );
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document.write( "In 4 yrs, Rick will be twice as old as Nick, therefore:   (x+10) = 2(x+4)\r<BR>\n" );
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document.write( "In 10 years:\r<BR>\n" );
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document.write( "Nick's age = (x+10) yrs\r<BR>\n" );
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document.write( "Rick's age = (x+6) + 10 = (x+16) yrs\r<BR>\n" );
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document.write( "Nick is now 2/3 of Rick therefore, 3(x+10)/2 = (x+16)\r<BR>\n" );
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document.write( "We now have two equations:\r<BR>\n" );
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document.write( "(x+10) = 2(x+4)\r<BR>\n" );
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document.write( "(x+10) = 2x +8\r<BR>\n" );
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document.write( "10 - 8 = 2x - x\r<BR>\n" );
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document.write( "2 = x\r<BR>\n" );
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document.write( "x = 2\r<BR>\n" );
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document.write( "Nick is 2 yrs old\r<BR>\n" );
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document.write( "We know that Rick is (x+6) yrs old therefore, Rick is (2+6) yrs old = 8 yrs old\r<BR>\n" );
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document.write( "3(x+10)/2 = (x+16)\r<BR>\n" );
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document.write( "We don't need to even bother about this equation as we have already found out our answer. </SPAN>\n" );
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