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}

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