Home » If a = 1, b = 3, solve for x in the equation (frac{a}{a -…

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

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})
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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