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17 October, 23:00

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? ... ?

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  1. 18 October, 00:07
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    Let there be n bees in the swarm.

    Kadamba: n/5

    Silihindra: n/3

    Kutaja: 3 (n/3 - n/5)

    Remaining = n - n/5 - n/3 - 3 (n/3 - n/5)

    1 = n - n/5 - n/3 - 3 (n/3 - n/5)

    Now, we solve this equation:

    1 = n - n/5 - n/3 - n + 3n/5

    1 = 3n/5 - 8n/15

    1 = (9n - 8n) / 15

    n = 15

    There are 15 bees in the swarm.
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