63.6k views
3 votes
The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.

User Rohit Vyas
by
8.0k points

1 Answer

7 votes

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.

User Soutzikevich
by
8.4k points

No related questions found