Question

The number on two consecutively numbered gym lockers have a sum of 149. What are the locker numbers?
The locker numbers are?
(Use a common to separate answers)

Answer 1

Well, let's think about this. We have two consecutive numbers that will add up to 149. We don't know what the numbers are, but we know that one number is exactly 1 more than the first.
So, if we say that "x" is the first number, we can say that the next number is x+1 because x+1 is always one more than the previous.
Does that make sense?

Answer 2

The reason I define them in this way is so that I can set up the equation that models the problem.

If x is the first number and x+1 is the second, then their sum has to be 149 to satisfy the conditions of the problem.
x + (x+1) = 149; solve for x