Question

what a third of a number is subtracted from ahalf of the same number, 60 is the result. Find the number.

Answer 1

Let's call the number
`n`.

Based on the problem, we can create the following equation:

`(1)/(2) n - (1)/(3) n = 60`

Now, let's solve for
`n`:

`(1)/(2) n - (1)/(3) n = 60`

• Set up

`n((1)/(2) - (1)/(3)) = 60`

• Apply the Distributive Property

`(1)/(6) n = 60`

• Combine like terms

`n = 360`

• Multiply both sides of the equation by 6

The number is 360.