The numbers of two consecutively numbered gym lockers have a sum of 153. What are the locker numbers?
To find the numbers of the two consecutively numbered gym lockers, we can set up a system of equations. Let's assume the first locker number is x, and the second locker number is x+1.
According to the problem, the sum of these two numbers is 153. So, we have the equation:
x + (x+1) = 153
Now, let's solve the equation:
2x + 1 = 153 (combine like terms)
2x = 152 (subtract 1 from both sides)
x = 76 (divide both sides by 2)
Therefore, the first locker number is 76, and the second locker number is 76+1, or 77.
So, the two consecutively numbered gym lockers are 76 and 77.