Question

Solve this :-

$\frac{9000}{x} - \frac{9000}{x + 20} = 160$

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Answer 1

The answer is explained in the attachment.


Hope it helps!

Answer 2

$\large{\mathbf{HELLO \: \: DEAR,}}$

$\mathit{\frac{9000}{x} - \frac{9000}{x+ 20} = 160}\\ \\ \mathit{9000[\frac{1}{x} - \frac{1}{x + 20}] = 160}\\ \\ \mathit{\frac{x + 20 - x}{x^2 + 20x} = \frac{160}{9000}}\\ \\ \mathit{\frac{20}{x^2 + 20x} = \frac{4}{225}}\\ \\ \mathit{20* 225 = (x^2 + 20x )* 4}\\ \\ \mathit{4500 = 4x^2 + 80x}\\ \\ \mathit{ x^2 + 20x - 1125= 0} \\ \\ \mathit{x^2 + 45x - 25x - 1125 = 0}\\ \\ \mathit{x(x + 45) - 25(x + 45) = 0}\\ \\ \mathit{(x - 25)(x + 45) = 0}\\ \\ \mathit{x = 25 , \: \: x = - 45}$

$\large{\mathbf{\underline{I \: \: HOPE \: \: ITS \: \: HELP \: \: YOU \: \: DEAR, \: \: THANKS}}}$