The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies

Question

The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?

Options:

A . 36

B . 24

C . 12

D . 6

Answer: Option C

x, 2x

(x-2):(2x-2) = 1:3

3x-6 = 2x-2

x = 4

x+2x = 3x

=> 3*4 = 12

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