Answer:
The equation that can be used to solve for [tex]m[/tex] is [tex]m(m-3)=108.[/tex]
Step-by-step explanation:
Given:
Two positive integers are 3 units apart on a number line. Their product is 108.
Now, to write an equation to solve for [tex]m.[/tex]
So, let [tex]m[/tex] be the greater integer.
As given, two positive integers are 3 units apart on a number line.
Thus, the other integer which is smaller = [tex]m-3.[/tex]
And, both of their product is 108.
Now, we set an equation to solve for [tex]m:[/tex]
[tex]m(m-3)=108[/tex]
Therefore, the equation that can be used to solve for [tex]m[/tex] is [tex]m(m-3)=108.[/tex]