# Three consecutive odd integers have a sum of -45. What are the integers?

Three consecutive odd integers are $\left(- 13 , - 15 , - 17\right)$
Let the three consecutive odd integers are $x - 2 , x , x + 2 \therefore x - 2 + x + x + 2 = - 45 \mathmr{and} 3 x = - 45 \mathmr{and} x = - 15 \therefore$ Three consecutive odd integers are $\left(- 15 - 2\right) , - 15 , \left(- 15 + 2\right) \mathmr{and} \left(- 13 , - 15 , - 17\right)$[Ans]