Answer: 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.
