Answer :

JcAlmighty
The answer is 79 and 80.

x - the number of the first locker
x + 1 - the number of the consecutive locker
Their sum is 159.

x + x + 1 = 159
2x + 1 = 159
2x = 159 - 1
2x = 158
x = 158 / 2
x = 79


x - the number of the first locker:                      x = 79
x + 1 - the number of the consecutive locker    x + 1 = 79 + 1 = 80

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