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: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

Number's value: n = $-\frac{19}{3}$

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 $\frac{1}{n}$.

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

The quotient of 20 and the number (n) would be $\frac{20}{n}$.

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

Equation: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

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