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

Mathematics
JAMB 1994

If a = 1, b = 3, solve for x in the equation \(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)
  • A. \(\frac{4}{3}\)
  • B. \(\frac{2}{3}\)
  • C. \(\frac{3}{2}\)
  • D. \(\frac{3}{4}\)
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Correct Answer: Option C
Explanation
\(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)

\(\frac{1}{1 - x}\) = \(\frac{3}{x - 3}\)

∴ 3(1 - x) = x - 3

3 - 3x = x - 3

Rearrange 6 = 4x; x = \(\frac {6}{4}\)

= \(\frac{3}{2}\)

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