document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180346>Question 1180346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will someone please help me with this problem?<BR>\n" );
document.write( "A tree that is 8 feet tall is growing at a rate of 2 feet each year. Another tree that is 10 feet tall is growing at a rate of 1 foot each year. Determine how many years it will take for the two trees to reach the same height. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853611 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53538)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A tree that is 8 feet tall is growing at a rate of 2 feet each year. Another tree that is 10 feet tall is growing <BR>\n" );
document.write( "at a rate of 1 foot each year. Determine how many years it will take for the two trees to reach the same height.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;@mananth gives the answer &nbsp;3 &nbsp;years.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;But if you check it, you will see that first tree will be &nbsp;8 + 3*2 = 14 m tall,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;while the second tree will be &nbsp;10 + 3 = 13 m tall in 3 years.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, &nbsp;the solution and the answer by @mananth both are &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "The correct formula for the first tree height is\r\n" );
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document.write( "    h1(t) = 8 + 2t,  where t is the time in years from now, in years.\r\n" );
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document.write( "For the first tree height is\r\n" );
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document.write( "    h2(t) = 10 + t,  where t is the time in years from now, in years.\r\n" );
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document.write( "We equate two heights\r\n" );
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document.write( "    8 + 2t = 10 + t,\r\n" );
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document.write( "    2t - t = 10 - 8,\r\n" );
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document.write( "       t   =    2.\r\n" );
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document.write( "<U>ANSWER</U>.  Two trees will reach the same height in 2 years from now.\r\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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