Question

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

Answer 1

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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