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The ratio of the number of ladies to that of gents at a party was 3 : 2. When 20 more gents joined the party, the ratio was reversed. The number of ladies present at the party was -

116
224
332
436

Answer:- 1

Explanation:-

Solution:

Let the number of ladies and gents at the party be 3x and 2x respectively.
Then,

\begin{aligned} = \frac{3 x}{2 x + 20} = \frac{2}{3} \\ \Rightarrow 9 x = 4 x + 40 \\ \Rightarrow 5 x = 40 \\ \Rightarrow x = 8. \end{aligned}

$\eqalign{ & = \frac{{3x}}{{2x + 20}} = \frac{2}{3} \cr & \Rightarrow 9x = 4x + 40 \cr & \Rightarrow 5x = 40 \cr & \Rightarrow x = 8. \cr}$ ∴ Number of ladies = 3 × 8 = 24

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∴ Number of ladies = 3 × 8 = 24 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the number of ladies and gents at the party be 3x and 2x respectively.
Then,

\begin{aligned} = \frac{3 x}{2 x + 20} = \frac{2}{3} \\ \Rightarrow 9 x = 4 x + 40 \\ \Rightarrow 5 x = 40 \\ \Rightarrow x = 8. \end{aligned}

$\eqalign{ & = \frac{{3x}}{{2x + 20}} = \frac{2}{3} \cr & \Rightarrow 9x = 4x + 40 \cr & \Rightarrow 5x = 40 \cr & \Rightarrow x = 8. \cr}$ ∴ Number of ladies = 3 × 8 = 24 ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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