Question

The reciprocal of two less than a certain number is twice the reciprocal of the number itself. What is the number?

Answer 1

Answer:

Number is 4

Step-by-step explanation:

Given:  reciprocal of two less than a certain number is twice the reciprocal of the number itself

To find: The number

Solution:

Let the number be x

Reciprocal of two less than a certain number = $\frac{1}{x-2}$

Reciprocal of the number itself = $\frac{1}{x}$

According to question,

$\frac{1}{x-2}=\frac{2}{x}\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4$

So, number is 4