Question

(5.55)*x=(0.555)*y=1000,find the value of 1/x-1/y

Answer 1

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Answer 2

The value of $\frac{1}{x}-\frac{1}{y}$ is $\frac{4995}{1000000}$

Step-by-step explanation:

Given,

$5.55x=0.555y=1000$

$5.55x=1000$

⇒$x=\frac{1000}{5.55}$

⇒$\frac{1}{x}=\frac{555}{1000\times 100}$

⇒$\frac{1}{x}=\frac{555}{100000}$

And,

$0.555y=1000$

⇒$y=\frac{1000}{0.555}$

⇒$\frac{1}{y} =\frac{555}{1000\times 1000}$

⇒$\frac{1}{y} =\frac{555}{1000000}$

∴ $\frac{1}{x}-\frac{1}{y}$

$=\frac{555}{100000}-\frac{555}{1000000}$

$=\frac{5550-555}{1000000}$

$=\frac{4995}{1000000}$

So, The value of $\frac{1}{x}-\frac{1}{y}$ is $\frac{4995}{1000000}$