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Alekssandra [29.7K]
3 years ago
9

The sum of three consecutive even integers is −246. Find the three integers.

Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer:

-83, -82, and -81

Step-by-step explanation:

Step 1: Declare your variable

Let x represent the largest of the 3 consecutive integer

Integer 1: x

Integer 2: x + 1

Integer 3: x + 2

Step 2: Create an equation

(x) + (x + 1) + (x + 2) = -246

Step 3: Solve

x + x + 1 + x + 2 = -246

3x + 3 = -246

3x = -249

\frac{3x}{3}=\frac{-249}{3}

x = -83

FInd the other 2 numbers

Integer 1: -83

Integer 2: -82

Integer 3: -81

Step 4: Therefore Statement

Therefore the 3 consecutive numbers are -83, -82, and -81

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