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rocky thinks of an odd integer adds the next two consecutive integer which of these could be the sum

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Answer:

C

Step-by-step explanation:

1. Let x be the odd integer. Let y be the sum.

x + (x + 1) + (x + 2) = y

3x + 3 = y

Adding two consecutive integers to an odd integer will result in an even integer.

So, you can eliminate choices B and D since they are odd.

Lastly, plug in choices A and C for y and choose the answer that makes x an integer.

Choice C would give you the correct result.

3x + 3 = 44562

3x = 44559

x = 14853

The odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Let

  • Small odd integer = x
  • Next consecutive integer = x + 1
  • Next two consecutive integer = x + 2
  • Sum of consecutive integers = 44,562

Sum:

x + (x + 1) + (x + 2) = 44,562

x + x + 1 + x + 2 = 44, 562

3x + 3 = 44,562

  • Subtract 3 from both sides

3x = 44,562 - 3

3x = 44,559

  • divide both sides by 3

x = 44,559 / 3

x = 14,853

Therefore, the odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Learn more about consecutive numbers:

https://brainly.com/question/10853762

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