Two times the greater of consecutive integers is 9 less than three times the lesser integer. what are the integers?

The integers are 11 and 12.

Step-by-step explanation:

Let x be the greater integer, then the lesser is x - 1, so:

2x = 3(x -1) - 9       Distribute the 3:

2x = 3x - 3 - 9       Subtract 3x from both sides:

-x = -3 - 9

-x = -12

x = 12.

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