Respuesta :

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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]

  • Set up

[tex]n(\dfrac{1}{2} - \dfrac{1}{3}) = 60[/tex]

  • Apply the Distributive Property

[tex]\dfrac{1}{6} n = 60[/tex]

  • Combine like terms

[tex]n = 360[/tex]

  • Multiply both sides of the equation by 6

The number is 360.