If $27 : a = 63 : 84$ , the value of $a$ is

$21$

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$36$

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$42$

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$63$

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Solution

The correct option is B
$36$

Given that
$\begin{array}{rcl} 27 : a & = & 63 : 84 \\ 63 a & = & 27 \times 84 \\ a & = & \frac{27 \times 84}{63} \\ a & = & \frac{2268}{63} \\ a & = & 36 \end{array}$
Hence option B is correct

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