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?

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

The integers are 0, 1, 2