If a = 1, b = 3, solve for x in the equation $\frac{a}{a - x}$ = $\frac{b}{x - b}$

$\frac{4}{3}$

$\frac{2}{3}$

$\frac{3}{2}$

$\frac{3}{4}$

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Correct answer is C

$\frac{a}{a - x}$ = $\frac{b}{x - b}$

$\frac{1}{1 - x}$ = $\frac{3}{x - 3}$

∴ 3(1 - x) = x - 3

3 - 3x = x - 3

Rearrange 6 = 4x; x = $\frac {6}{4}$

= $\frac{3}{2}$

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