document.write( "Question 275013: how to write two thirds of a number increased by six is three less than the number \n" ); document.write( "

Algebra.Com's Answer #200670 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "two thirds of a number increased by six is three less than the number.\r\n" );
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document.write( "two thirds of a number increased by six is three less than the number.\r\n" );
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document.write( "Replace \"a number\" and \"the number\" by \"x\r\n" );
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document.write( "two thirds of x increased by six is three less than .\r\n" );
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document.write( "two thirds of x increased by six is three less than x.\r\n" );
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document.write( "Replace \"two thirds of x\" by \"\"\r\n" );
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document.write( " increased by six is three less than x.\r\n" );
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document.write( " increased by six is three less than x.\r\n" );
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document.write( "Replace \"  increased by six\" by \"\"\r\n" );
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document.write( "\"\" is three less than x.\r\n" );
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document.write( "\"\" is three less than x.\r\n" );
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document.write( "Replace the word \"is\" by an equal sign \r\n" );
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document.write( " three less than x.\r\n" );
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document.write( " three less than x\r\n" );
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document.write( "The last part is tricky because the English is backwards from the algebra:\r\n" );
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document.write( "So first replace \"three less than x\" by \"x decreased by three\".  You see,\r\n" );
document.write( "it's x that we are decreasing, not \"three\". The \"three\" tells us how much\r\n" );
document.write( "we are decreasing x.  So any time you see the words \"less than\" in a word\r\n" );
document.write( "problem, be very careful to decide what is being decreased and what we are\r\n" );
document.write( "decreasing it by, for it is very important that you do not get these reversed.\r\n" );
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document.write( "x decreased by three.\r\n" );
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document.write( "Now replace \"x decreased by three\" by \r\n" );
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document.write( "Can you solve that? If not post again asking how.\r\n" );
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document.write( "Answer \r\n" );
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document.write( "Edwin

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