Question

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.

Answer 1

Equation to find number:
`(1)/(n)` - 3 =
`(20)/(n)`

Number's value: n =
`-(19)/(3)`

Explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be
`(1)/(n)`.

The difference of three and the reciprocal of a number (
`(1)/(n)`) would be
`(1)/(n)` - 3.

The quotient of 20 and the number (n) would be
`(20)/(n)`.

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation:
`(1)/(n)` - 3 =
`(20)/(n)`

To find what the number equals we must solve the equation.