julianna3117 julianna3117
  • 03-09-2018
  • Mathematics
contestada

Suppose you have three consecutive integers. The greatest of the three is twice as great as the sum of the two. What are the integers?

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mathstudent55
mathstudent55 mathstudent55
  • 03-09-2018

The smallest integer is x. The next one is x + 1, and the greatest one is x + 2.

The greatest of the three is twice as great as the sum of the two.

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

x + 2 = 2(2x + 1)

x + 2 = 4x + 2

-3x = 0

x = 0

x + 1 = 1

x + 2 = 2

Answer: The integers are 0, 1, 2

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