Question

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation?

Answer 1

Equations:

Let x=the larger number

1. y=x-3
2. y=1/3(x+9)

Answer 2

The equations are
`y = x -3\texttt{ and }y=(x+9)/(3)`

Explanation:

Let the number be y and larger number be x.

A number, y, is equal to the difference of a larger number and 3.That is

y = x -3

The same number is one-third of the sum of the larger number and 9. That is

`y=(x+9)/(3)`

So the equations are
`y = x -3\texttt{ and }y=(x+9)/(3)`