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Ratio

If a2b=74 f...

Question

If $\frac{a}{2 b} = \frac{7}{4}$ find the value of ratio $\frac{a + 2 b}{a - 2 b}$ .

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Solution

$\frac{a}{2 b} = \frac{7}{4} (Given)$
$\frac{a + 2 b}{a - 2 b}$
$= \frac{\frac{a}{2 b} + 1}{\frac{a}{2 b} - 1}$
$= \frac{\frac{7}{4} + 1}{\frac{7}{4} - 1}$
$= \frac{7 + 4}{7 - 4} = \frac{11}{3}$

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