In a group of 80 people, 20 speak both Bengali and Odia and 12 speak neither. The number who speak only Bengali is twice the number who speak only Odia. How many people speak Bengali?

Explanation

1. 01

   Only Bengali + only Odia $= 80 - 20 - 12 = 48$.

2. 02

   If only Odia $= x$, then $2x + x = 48$, so $x = 16$ and only Bengali $= 32$.

3. 03

   Bengali speakers $= 32 + 20 = 52$.