Question

If the value of x/2y = 2a, then what is the value of 2x/(x-2ay) equal to?

a. 4

b. 8

c. 16

d. 2

Answer 1

2x/(x-xy/2y)
2x/x/2
2.2
4

Answer 2

$\frac{2 x}{2 a y}$ value is equal to 4

Given:

The value of $\frac{x}{2 y}$ is 2a

To find:

The value of $\frac{2 x}{2 a y}$

Solution:

From the given $\frac{x}{2 y}$=2 a

Then,  

$\frac{x}{y}=4 a\\ \\\frac{x}{a y}=4$

Then by taking reciprocal for the above equation,

$\frac{a y}{x}=\frac{1}{4}$

Then, the finding of the Value of $=\frac{2 x}{2 x y} ,$

$=\frac{2 x}{2 a y}$

$=2\left(\frac{x}{2 a y}\right)$

The value of $\frac{a y}{x}=\frac{1}{4}$

We have the value of the $\frac{a y}{x}$, but in the finding value we need to find the value of $=\frac{x}{a y}$, so it is the reciprocal of the value of  $\frac{a y}{x}$

$=2\left(\frac{4}{2}\right)$

$=\frac{8}{2}$

=4

Hence, the required value would be 4