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The sum of three consecutive numbers minus 12 is 75. What are these three consecutive numbers?

A) 22, 23, 24
B) 25, 26, 27
C) 29, 30, 31
D) 32, 33, 34

Answer :

Final answer:

The three consecutive numbers whose sum minus 12 equals 75 are found to be 28, 29, and 30, when solving the equation set up for this problem. However, these numbers do not match any of the provided answer choices, suggesting an error in the question or choices.

Explanation:

To find the three consecutive numbers whose sum minus 12 equals 75, we start by setting up an equation. Let's denote the smallest of the three consecutive numbers as n, which means the next numbers will be n+1 and n+2. The sum of these three numbers minus 12 is given to be 75, so we have the following equation:

n + (n + 1) + (n + 2) - 12 = 75

Simplify and solve for n:

  1. Combine like terms: 3n + 3 - 12 = 75
  2. Combine numbers: 3n - 9 = 75
  3. Add 9 to both sides: 3n = 84
  4. Divide by 3: n = 28

The smallest consecutive number is 28, so the three consecutive numbers are 28, 29, and 30. However, these numbers are not listed among the options provided. It's possible that there's been an error in the question or the answer choices. The correct consecutive numbers based on the given equation are 28, 29, and 30, which do not match any of the answer choices A, B, C, or D.

Learn more about Consecutive Numbers Problem here:

https://brainly.com/question/8971773

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