Ethyl bromide reacts with sodium methoxide to form ?

The reactants should be ethyl bromide and sodium methoxide.

The products of the reactions are diethylether and sodium bromide.  

Explanation:

When ethyl bromide, it reacts with any sodium ethoxide, it gives diethylether and also sodium bromide.

As in the sodium ethoxide, the negatively charged oxygen atom is  very much reactive and it  attacks on the bromine containing a carbon of the ethyl bromide and it replaces it forming methyl ethoxide. This type of reaction is sometimes known as SN2.