Suppose there are three consecutive intergers. if two times the first is added to twice the middle, the results is 69 minus the largest number. what is the largest number?

3 consecutive means

x, x+1, x+2

OR

x, x-1, x-2

the equation based on givens and first equation is:

2 (x) + 2 (x+1) = 69 - (x+2)

4x + 2 = 67 - x

5x = 65

x = 13

so the largest would be x+2 or 15