There are 3 consecutive integers that sum to 15

Our three consecutive integers can be represented as

X → first integer

X + 1 → second integer

X + 2 → third integer

If the sum of our three consecutive integers is 15, our equation will read...

X + X + 1 + X + 2 = 15

Now, we can simplify on the left. Once we simplify, our equation will now read

3x + 3 = 15

      -3    -3   ← subtract 3 from both sides

       3x = 12  ← divide both sides by 3

        X = 4

X → first integer 4

X + 1 → second integer 5

X + 2 → third integer 6

Therefore, the 3 consecutive integers are 4, 5, and 6.

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