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The sum of three consecutive numbers is 135
What is the smallest of the three numbers?


Sagot :

sonsecutive numbers is
first number=x
second=x+1
third=x+2 so

x+x+1+x+2=135 or add like terms
3x+3=135
subtract 3 from both sides
3x=132
divide by 3
x=44
firts number=44
next number=45
next number=46

numbers are 44,45,46

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. The smallest number would be 44.