Mathematics

Question

What is the sum of 3 consecutive odd integers is -39

1 Answer

  • Answer: The three consecutive odd integers are:  -15, -13, and -11 .
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    Explanation:
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      x + (x + 2) + (x + 4) = -39 ;
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     in which "x" is one of the integers, 
               "(x + 2)" is the next consecutive odd integer;
               "(x + 4)"  is the third consecutive odd integer.
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    By solving for "x", we can solve for each of three (3) consecutive odd integers.
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         x + (x + 2) + (x + 4) = -39  ;
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              1x + 1x + 2 + 1x+ 4 = -39 ;
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                       3x + 6 = -39 ;
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                   Subtract  "6" from EACH side of the equation:
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                        3x + 6 − 6  =  -39 − 6 ;
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            to get:   3x = -45 ;
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               Divide EACH side of the equation by "3" ;
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                     3x / 3 = -45 / 3 ;
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            to get:   x = -15 ;
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         x + 2 =  -15 + 2 = -13 ;
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         x + 4 =  -15 + 4 =  -11 .
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    Are: -15, -13, and -11 ;  Consecutive odd integers?  YES!
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    Does:  -15 + (-13) + (-11)  =? = -39 ??
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               -15 
    − 13 − 11 = ? 39 ??  YES!
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    Answer: The three consecutive odd integers are:  -15, -13, and -11.
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