This problem is an example of "simple Hindu Algebra", quoted on page 528 of "The Story of Civilization", v.1., by Will Durant, Simon and Schuster, 1935. The problems are approximately 1,800 years old. (Mental pursuits by women were discouraged at that time. You ponder the significance of fictitiously directing the questions at women. Durant does not comment on this issue.)
Out of a swarm of bees one fifth part settled on a Kadamba blossom; one third on a Silihindra flower; three times the difference of those numbers flew to the bloom of a Kutaja. One bee, which remained, hovered about in the air. Tell me, charming woman, the number of bees .
Hint: Call the number of bees $x$ and convert the story into an equation.