Answer: 25 and 26
Step-by-step explanation: This problem states that the sum of two consecutive integers is 51 and it asks us to find the integers. Two consecutive integers can be represented as followed.
X ⇒ first integer
X + 1 ⇒ second integer
Since the sum of our two con consecutive integers is 51, we can set up an equation to represent this.
X + X + 1 = 51
Now, we can simplify on the left side of our equation.
2x + 1 = 51
-1 -1 ← subtract 1 on both sides
2x = 50
÷2 ÷2 ← divide both sides by 2
X = 25
X + 1 = 26
Therefore, our two consecutive integers are 25 and 26.