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16 December, 01:35

The sum of three consecutive odd integers is - 15. What are the numbers?

A.{-3, - 1, 1}

B.{-3, - 5, - 7}

C.{-7, - 9, - 11}

D.{-4, - 5, - 6}

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Answers (1)
  1. 16 December, 01:41
    0
    Odd numbers are represented as 2n+1 where 2 is a natural number (negative and possitive whole numbers)

    consecutive odd numbers are 2 away from each other so 3 consecutive odd numbers would be

    (2n+1), (2n+1+2), (2n+1+2+2)

    the all add to - 15 so they must all be negative

    2n+1+2n+1+2+2n+1+2+2=-15

    add like terms

    6n+9=-15

    subtract 9 from both sides

    6n=-24

    divide both sides by 6

    n=-4

    subsitute

    first number=2n+1=2 (-4) + 1=-8+1=-7

    second number=2n+1+2=2 (-4) + 3=-8+3=-5

    third number=2n+1+2+2=-8+5=-3

    the numbers are - 7,-5, - 3

    the answe ris B
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