Question

Eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

Answer 1

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' = $8*\frac{1}{x}$

$8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2$

Now multiply both sides by x

$8*\frac{1}{x}*x = 2*x\\\\8 = 2x$

Now divide both sides by 2

$\frac{8}{2}=\frac{2x}{2}\\\\4 = x$

x = 4