the numbers on two consecutively numbered gym lockers have a sum of 157 what are the locker numbers?

Let's suppose the two consecutive locker numbers are x and (x+1).

According to the problem, the sum of these numbers is 157.
So, we can write the equation: x + (x+1) = 157.
By simplifying the equation, we get: 2x + 1 = 157.
Now, we subtract 1 from both sides of the equation: 2x = 157 - 1.
Simplifying further, 2x = 156.
Finally, we divide both sides by 2: x = 156/2 = 78.
Thus, the two consecutive locker numbers are 78 and 79.