Question

2/23 of X is equal to square root of Y.If the ratio between X and Y is 23:12 respectively ,what si the difference between X and Y

Answer 1

Answer:

33

Step-by-step explanation:

(4/(23*23))x*x=y

y/x=12/23=(4/23*23)*x

x=69

y=36

x-y=33

Answer 2

Answer:

The difference between X and Y is 33.

Step-by-step explanation:

It is provided that:

$\frac{2}{23}X=\sqrt{Y}...(i)\\X:Y=23:12$

The value of Y in terms of X is:

$\frac{X}{Y}=\frac{23}{12}\\Y=\frac{12}{23}X$

Use the value of Y to solve equation (i) for X as follows:

$\frac{2}{23}X=\sqrt{Y}\\(\frac{2}{23}X)^{2}=Y\\\frac{4}{529}X^{2}=\frac{12}{23} X\\X=\frac{12}{23}\times\frac{529}{4}\\X=69$

Use the value of X to compute Y as follows:

$Y=\frac{12}{23}X=\frac{12}{23}\times69=36$

Compute the difference between X and Y as follows:

$X-Y=69-36=33$

Thus, the difference between X and Y is 33.