document.write( "Question 1137767: The sum of three consecutive odd integers is 171. Use your equation to determine the numbers \n" ); document.write( "

Algebra.Com's Answer #755643 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let n be the middle number of the three consecutive odd integers.\r\n" );
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document.write( "Then the first number is (n-2), while the third integer is (n+2).\r\n" );
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document.write( "The sum of the three numbers is 171:\r\n" );
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document.write( "    (n-2) + n + (n+2) = 171,   or\r\n" );
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document.write( "    3n = 171,\r\n" );
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document.write( "which gives\r\n" );
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document.write( "    n = 171/3 = 57.\r\n" );
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document.write( "Thus the numbers are  55, 57 and 59.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from my solution is THIS :\r
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document.write( "     The sum of three consecutive odd integer numbers is three times the middle number.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Another form of this statement is THIS :\r
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document.write( "     If you are given the sum of three consecutive odd integer numbers, then the middle number is    (one third)  of the sum.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Therefore, by knowing this property, you can solve many other similar problems MOMENTARILY (and mentally, without using equations) (!)\r
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\n" ); document.write( "\n" ); document.write( "As if you are a magician ( ! ! )\r
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