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.