123. A fifth part of the swarm of bees is on the kadamba flower, one third on the silindhara flowers. The tripled difference of the last two numbers has gone to the kutaja flowers. And there is still one bee flying to and fro, attracted by the wonderful fragrance of jasmine and pandanus. Tell me, charming one, how many bees are there in all?

## Problems of Brahmagupta.

From the treatise, "The Improved System of Brahman".


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123. We form the equation:

$$
\frac{1}{5} x+\frac{1}{3} x+3\left(\frac{1}{3} x-\frac{1}{5} x\right)+1=x
$$

from which \( x=15 \).

Brahmagupta, a famous Indian mathematician (born in 598 AD). His astronomical treatise "Brahma-sphutasiddhanta" consists of 20 books. Book XII contains arithmetic, and Book XVIII contains algebra. In the arithmetic section, several chapters are devoted to interesting geometric questions. The algebraic section primarily deals with first and second-degree equations, both determinate and indeterminate.