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When a third of a number is subtracted from a half of the same number, 60 is the result. Find the number

Respuesta :

the answer is 360 because if you take a third you will have 120 then if you take half of that then you get 60

Using a system of equations, it is found that the number is of -360.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem:

  • The number is n.
  • A third of the number is n/3.
  • Half the number is n/2.

Hence:

[tex]\frac{n}{3} - \frac{n}{2} = 60[/tex]

[tex]\frac{2n - 3n}{6} = 60[/tex]

[tex]-n = 360[/tex]

[tex]n = -360[/tex]

The number is of -360.

To learn more about system of equations, you can take a look at https://brainly.com/question/24342899

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