Let's call the number [tex]n[/tex].
Based on the problem, we can create the following equation:
[tex]\dfrac{1}{2} n - \dfrac{1}{3} n = 60[/tex]
Now, let's solve for [tex]n[/tex]:
[tex]\dfrac{1}{2} n - \dfrac{1}{3} n = 60[/tex]
[tex]n(\dfrac{1}{2} - \dfrac{1}{3}) = 60[/tex]
- Apply the Distributive Property
[tex]\dfrac{1}{6} n = 60[/tex]
[tex]n = 360[/tex]
- Multiply both sides of the equation by 6
The number is 360.
