The sum of three consecutive integers is 114. what are the three integers?

Answer: 37, 38, and 39Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.3 consecutive integers can be represented as followed.X ⇒ first integerX + 1 ⇒ second integerX + 2 ⇒ third integerSince the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.X + X + 1 + X + 2 = 114We can simplify on the left side by combining the X's and the numbers.3x + 3 = 114       -3     -3   ← subtract 3 from both sides of the equation3x = 111÷3    ÷3   ← divide both sides of the equation by 3 X = 37X ⇒ first integer   = 37X + 1 ⇒ second integer   = 38X + 2 ⇒ third integer   = 39Therefore, our 3 consecutive integers are 37, 38, and 39.