The numbers on two consecutively numbered gym lockers have a sum of

135.

What are the locker numbers?

67,68

Step-by-step explanation:

Consecutive numbers are the numbers that follow each other. They may be arranged from the smaller to larger or larger to smaller ones.

Some examples of consecutive numbers are 42,43,45,46, ... or 67,68,69,70, ...

Now, let x be the smaller gym locker number.

The number consecutive to x will be x+1. Thus the larger gym locker number is x+1.

It is given in the question that the sum of these two locker number is 135.

⇒ (x) + (x+1) = 135

⇒ 2x + 1 = 135

⇒ 2x = 134

⇒ x = 67

Thus, the two consecutive locker number are x = 67 and x+1 = 68.