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The ratio of the numbers of ladies to that of gents at a party was $3 : 2$ . If $20$ more gents joined the party the ratio was reversed, the number of ladies present in the party was

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16

24

32

36

answer is C.

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Detailed Solution

\frac{3 x}{2 x + 20} = \frac{2}{3}

$9 x = 4 x + 40$

$9 x - 4 x = 40$

$5 x = 40$

$x = 8$

Numbers of ladies $= 3 \times 8 = 24$

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