Question

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

Answer 1

Number is 4

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 =
`(1)/(x-2)`

Reciprocal of the number itself =
`(1)/(x)`

According to question,

`(1)/(x-2)=(2)/(x)\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4`

So, number is 4