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

Respuesta :

Equation to find number: [tex]\frac{1}{n}[/tex] - 3 = [tex]\frac{20}{n}[/tex]

Number's value: n = [tex]-\frac{19}{3}[/tex]



Step-by-step 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 [tex]\frac{1}{n}[/tex].

The difference of three and the reciprocal of a number ([tex]\frac{1}{n}[/tex]) would be [tex]\frac{1}{n}[/tex] - 3.

The quotient of 20 and the number (n) would be [tex]\frac{20}{n}[/tex].

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

Equation: [tex]\frac{1}{n}[/tex] - 3 = [tex]\frac{20}{n}[/tex]

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