document.write( "Question 1011683: The sum of three numbers is 165. When the smallest number is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number. This number $n$ also results by adding 9 to the third number. What is the product of the three numbers?
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Algebra.Com's Answer #627422 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "The sum of three numbers is 165. When the smallest number is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number. This number $n$ also results by adding 9 to the third number. What is the product of the three numbers?
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\n" ); document.write( "\n" ); document.write( "You use terms \"smallest number\", \"largest number\" and \"third number\".
\n" ); document.write( "They are not the terms of one semantic row. Which is bad.\r
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\n" ); document.write( "\n" ); document.write( "Nevertheless, I conclude the \"third number\" is the \"medium/middle number\".\r
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\n" ); document.write( "\n" ); document.write( "If it is not so, then your formulation is simply provocation. \r
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document.write( "From the condition, this system of three equations for three unknowns arises\r\n" );
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document.write( "s + m + l = 165,   (1)\r\n" );
document.write( "7s = l - 9,        (2)\r\n" );
document.write( "l - 9 = m + 9.     (3).\r\n" );
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document.write( "where s is the smallest, l is the largest and m is the medium (\"the third\") number. \r\n" );
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document.write( "Solve it, if you can. \r\n" );
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document.write( "If not, then confirm that the \"third number\" is the medium.\r\n" );
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document.write( "Or re-edit and re-post your quest.\r\n" );
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