The sum of 3 consecutive integers is 72. what are the integers?

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 72, our equation will read...

X + X + 1 + X + 2 = 72

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

3x + 3 = 72

      -3     -3   ← subtract 3 from both sides

     3x = 69  ← divide both sides by 3

      X = 23

X → first integer 23

X + 1 → second integer 24

X + 2 → third integer 25

Therefore, the 3 consecutive integers are 23, 24, and 25.

divide 72 by 3

72/3 = 24

 that is the middle number

 so use 1 lower and 1 higher

23 +24 +25 = 72

 numbers are 23, 24 & 25