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statuscvo [17]
2 years ago
12

The sum of three consecutive integers is -54. What are the integers?

Mathematics
1 answer:
tresset_1 [31]2 years ago
5 0

Answer:

-19, -18, -17

Step-by-step explanation:

1. To find the sum of three consecutive integers, we can use the formula x + x + 1 + x + 2, where x = first term. As you can see from the formula, + 1 is the next term, and + 2 is the following term after that.

2. (Solving)

Step 1: Combine like terms.

  • (x + x + x) + (1+2) = -54
  • 3x + 3 = -54

Step 2: Subtract 3 from both sides.

  • 3x + 3 - 3 = -54 - 3
  • 3x = -57

Step 3: Divide both sides by 3.

  • \frac{3x}{3} = \frac{-57}{3}
  • x = -19

3. Now that we know our first term is -19, let's apply it to x + x + 1 + x + 2.

  • (-19) + (-19+1) + (-19+2)
  • -19 + (-18) + (-17)

4. Okay, so we got that the integers are -19, -18, and -17. Let's check if these numbers sum to -54.

  • -19 - 18 - 17
  • -37 -17
  • -54

Therefore, the integers are -19, -18, and -17.

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