If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. Wh

Answer 1

x is the number, therefore the reciprocal is 1/x, giving;
1/x -1/4x = 1/12
... multiply every terms by12x
12 - 3 = x
x = 9

Answer 2

So set it up:

1/x - 1/4x = 1/12

Multiply through by 12:

12/x -12/4x = 1

Simplify

12/x - 3/x =1

Multiply through by x

12-3=x

x = 9

Check it:

1/9 - 1/36 = 1/12

4/36 - 1/36 = 1/12

3/36 = 1/12

1/12 = 1/12

Answer 3

enable X be the selection translation suggestion: 4 instances (a selection) = 4 * selection = 4* X = 4X reciprocal of (4 instances a selection) = reciprocal of (4x) = one million/4x reciprocal of that selection = reciprocal of (x) = one million/x so, "[the reciprocal of four instances a selection] is subtracted from [the reciprocal of that selection], the end result's one million/12" skill one million/4x is subtracted from one million/x, the end result's one million/12 one million/x - one million/4x = one million/12 x = 9

Answer 4

Let x = the number
1/x - 1/4x = 1/12
12 - 3 = x
9 = x

Answer 5

the answer is 9.
let the no. be 'x', so according to given conditions
1/x - 1/4x = 1/12
by solving above, we get
4x = 36
so, x = 9