Answer: -119, -120, and -121
Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.
X ⇒ <em>first integer</em>
X + 1 ⇒ <em>second integer</em>
X + 2 ⇒<em> third integer</em>
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Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.
X + X + 1 + X + 2 = -354
Now, we can simplify on the left side of the equation.
3x + 3 = -354
-3 -3 ← subtract 3 on both sides of the equation
3x = -357
÷3 ÷3 ← divide both sides by 3
X = -119
X ⇒ <em>first integer = </em><em>-119</em>
X + 1 ⇒ <em>second integer = </em><em>-120</em>
X + 2 ⇒<em> third integer = </em><em>-121</em>
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Therefore, our three consecutive integers are -119, -120, and -121.
