Question

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

Answer 1

The number is 4

Explanation:

Let the number = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' =
`8*(1)/(x)\\`

`8*(1)/(x)= 4* (1)/(2)\\\\8*(1)/(x)= 2\\`

Now multiply both sides by x

`8*(1)/(x)*x = 2*x\\\\8 = 2x`

Now divide both sides by 2

`(8)/(2)=(2x)/(2)\\\\4 = x`

x = 4