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 = [tex]\frac{1}{x-2}[/tex]
Reciprocal of the number itself = [tex]\frac{1}{x}[/tex]
According to question,
[tex]\frac{1}{x-2}=\frac{2}{x}\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4[/tex]
So, number is 4
