Question

Two consecutive integers add to 51. what are the integers?

Answer 1

25 and 26...........

Answer 2

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.