Question

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

Answer 1

Let the two integers be x and x + 1, then
2(x + 1) + 9 = 3x
2x + 2 + 9 = 3x
3x - 2x = 11
x = 11

Therefore, the integers are 11 and 12.