Answer:
The number is 4
Step-by-step explanation:
Let the number = 'x'
Reciprocal of 'x' = 1/x
Reciprocal of 2 = 1/2
8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]
[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]
Now multiply both sides by x
[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]
Now divide both sides by 2
[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]
x = 4
