If a = 1, b = 3, solve for x in the equation aa?x a a ? x = bx?b

Assessment: JAMB UTME - Mathematics - 1994 Subject: General Mathematics

Question 1 Report

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}

Answer Details

$\frac{a}{a - x}$ = $\frac{b}{x - b}$
$\frac{1}{1 - x}$ = $\frac{3}{x - 3}$
? 3(1 - x) = x - 3
3 - 3x = x - 3
Rearrange 6 = 4x; x = $\frac{6}{4}$
= $\frac{3}{2}$

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