Three consecutive integers have a sum of 78. find the inte

25, 26, and 27

Step-by-step explanation: Three consecutive integers can be represented as followed. Let's use "T" as our variable.

T → first integer

T + 1 → second integer

T + 2 → third integer

Since the sum of our three consecutive integers is 78, our equation will be as followed.

T + T + 1 + T + 2 = 78

We can simplify on the left.

3t + 3 = 78

     -3    -3   ← subtract 3 on both sides

     3t = 75

    ÷3    ÷3   ← divide by 3 on both sides

T = 25

T + 1 = 26

T + 2 = 27

Therefore, our three consecutive integers are 25, 26, and 27.

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