Solution - Word Problem

2 sentences contain the information we are after.

The first, [The quotient of the 2 numbers is 1], we learn that:

There are 2 numbers we are looking for, as we don't know what they are, we will refer to them as $$x$$ and $$y$$.

The quotient of $$x$$ and $$y$$ is 1. This can be mathematically expressed as $$\frac{x}{y}=1$$

From the following sentence, [the product of the 2 numbers is 1], we further learn that the product of $$x$$ and $$y$$ equals 1.

This information, can then be expressed in another equation, which would be $$x\cdot y=1$$

We now have a system of equations:

$$\frac{x}{y}=1$$
$$x\cdot y=1$$