Question

The numbers on two consecutively numbered gym lockers have a sum of 123 what are the locker numbers?

Answer 1

According to the statement, we have two consecutively numbered gym lockers which sum 123.

Let's suppose that the first locker has the number X, so the consecutive has a number X+1, and because the sum of the numbers is 123, we can write the following equation:

`X+(X+1)=123`

Solving the last equation for X we find that:

`\begin{gathered} 2X+1=123 \\ 2X=123-1 \\ 2X=122 \\ X=(122)/(2) \\ X=61 \end{gathered}`

Answer

The numbers of the lockers are 61 and 62.