Respuesta :

Let's say the first integer is n. the next two integers will be n+1 and n+2. If you add these three together you will get n+n+1+n+2, which is 3n+3 
so, 
3n+3=135 
3n=132 
n= 44 
thus, the first integer is 44. the next two consecutive will thus be 45 and 46 
to check: 44+45+46=135 
and there you have your answer, hope I helped!
TheBlueFox

Three consecutive integers can be represented as followed.

X → first integer

X + 1 → second integer

X + 2 → third integer

Since the sum of our three consecutive integers is 135, we can set up an equation to represent this.

X + X + 1 + X + 2 = 135

-Simplify on the left-

3x + 3 = 135

      -3     -3

3x = 132

÷3     ÷3       ← divide both sides by 3

X = 44

X + 1 = 45

X + 2 = 46

Therefore, the three consecutive integers are 44, 45, and 46.

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