The sum of three consecutive odd integers is 87

27, 29, and 31

Step-by-step explanation: This problem states that the sum of three consecutive odd integers is 87 and it asks us to find the integers.

Three consecutive odd integers can be represented as followed.

X ⇒ first integer

X + 2 ⇒ second integer

X + 4 ⇒ third integer

Since the sum of our three consecutive odd integers is 87, we can set up an equation to represent this.

X + X + 2 + X + 4 = 87

3x + 6 = 87

      -6    -6

3x = 81

÷3   ÷3

X ⇒ 27

X + 2 ⇒ 29

X + 4 ⇒ 31

Therefore, our three consecutive odd integers are 27, 29, and 31.