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Three Consecutive Numbers

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Three Consecutive Numbers

Suppose three consecutive numbers are added together, and the sum is then multiplied by 3.

  • Which of the following expressions represent this situation? Select all that apply, and justify your choices.

3x + 3x + 1 + 3x + 2

3x + 3(x + 1) + 3(x + 2)

3x + 3x + 3 + 3x + 6

x + x + 3 + x + 6

  • The total is 162. What are the three consecutive numbers? Explain your answer.