document.write( "Question 230112: The mean, median and mode of 3 numbers are x, x+1 and x+1 respectively. Which of the following represents the least of the 3 numbers?\r
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Algebra.Com's Answer #170456 by Edwin McCravy(20065) $\"\"$ $\"About$

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The mean, median and mode of 3 numbers are x, x+1 and x+1 respectively. Which of the following represents the least of the 3 numbers?
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document.write( "Since there is a mode, at least 2 of the numbers must be the same.\r\n" );
document.write( "The mode is always one of the numbers.\r\n" );
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document.write( "Since there is an odd number of numbers, the median must also be\r\n" );
document.write( "one of the numbers.  Since x+1 is both the median and the mode, \r\n" );
document.write( "two of the numbers are both x+1.  Let the third number be y.  \r\n" );
document.write( "Then the three numbers are \r\n" );
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document.write( "y, x+1, and x+1.\r\n" );
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document.write( "Since x is the mean:\r\n" );
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document.write( "So the third number is x-2, and since\r\n" );
document.write( "x-2 is less than the other two numbers,\r\n" );
document.write( "which are both x+1, it is the least \r\n" );
document.write( "of the three. So the answer is x-2, choice C.\r\n" );
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document.write( "Edwin

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