document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992321>Question 992321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of three consecutive natural numbers is 963, find the numbers.\r<BR>\n" );
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document.write( "(A) First, write out an equation that models the relationship between these three numbers:\r<BR>\n" );
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document.write( "       x +              +               = 963\r<BR>\n" );
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document.write( "          2nd number     3rd number\r<BR>\n" );
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document.write( "(B) Now, simplify the left side of your equation:\r<BR>\n" );
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document.write( "                         = 963\r<BR>\n" );
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document.write( "(C) Solve your equation and identify the three numbers:  \r<BR>\n" );
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document.write( "      The three numbers in increasing order are   ,    and  .\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 #611996 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52814)</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=611996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "1. &nbsp;<U>First way to solve it</U>:\r<BR>\n" );
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document.write( "Let &nbsp;x&nbsp; be the first of the three numbers.<BR>\n" );
document.write( "Then the second and the third are &nbsp;(x+1) &nbsp;and &nbsp;(x+2), &nbsp;respectively.\r<BR>\n" );
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document.write( "Your equation is \r<BR>\n" );
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document.write( "x + (x+1) + (x+2) = 963.\r<BR>\n" );
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document.write( "3x + 3 = 963,\r<BR>\n" );
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document.write( "3x = 963 - 3 = 960,\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=960%2F3 ALIGN=MIDDLE  ALT=\"960%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 320.\r<BR>\n" );
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document.write( "Thus the first number is &nbsp;320, &nbsp;the second is &nbsp;321, &nbsp;and the third is &nbsp;322.\r<BR>\n" );
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document.write( "Please check yourself that the tree numbers satisfy the condition.\r<BR>\n" );
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document.write( "2. &nbsp;<U>Second way to solve it</U>:\r<BR>\n" );
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document.write( "Let &nbsp;x&nbsp; be the second number.<BR>\n" );
document.write( "Then the first and the third numbers are &nbsp;(x-1) &nbsp;and &nbsp;(x+1),  &nbsp;respectively.\r<BR>\n" );
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document.write( "And your equation is\r<BR>\n" );
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document.write( "(x-1) + x + (x+1) = 963,\r<BR>\n" );
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document.write( "3x = 963,\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=963%2F3 ALIGN=MIDDLE  ALT=\"963%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 321,\r<BR>\n" );
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document.write( "and so on . . . \r<BR>\n" );
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document.write( "Good luck!\r<BR>\n" );
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