Question

Translate to a system of equations:The sum of two numbers is fifteen. One number is three less than the other. Determine the system of equations. Call the first number m and the second number n.

Answer 1

`\begin{gathered} m+n=15 \\ m-n=3 \end{gathered}`

Step-by-step explanation:

Let the first number = m

Let the second number = n

The sum of the two numbers is 15.

`m+n=15`

One number is 3 less than the other:

`m-n=3`

Therefore, the system of equations is:

`\begin{gathered} m+n=15 \\ m-n=3 \end{gathered}`