The ratio of 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 originally present at the party? Choose the correct choice from the following answers
A) 6  B) 9  C) 12  D) 10  E) 11
Let number of ladies = x   then, number of gents = 2x   Now, x−2/2x−2=1/3⇒ 3x - 6 = 2x - 2   ⇒ x = 4   ∴ Total number of people originally present = 4 + 8= 
<gadget id="calculator">4 + 8</gadget>
<output>12</output>
12   Answer 12
<result>C</result>
The ratio of 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 originally present at the party?