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swarm of bees

the square root of half the number of bees in a swarm has flown out upon a jasmine bush;8/9 ths of the whole swarm has remained behind;one female bee flies about a male that is buzzing within the lotus flower into which he was allured in the night by its sweet odour,but is now imprisoned in it.tell the number of bees.
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shilpi84
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shilpi84
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Harisha M GCommented:
>> the square root of half the number of bees in a swarm has flown out upon a jasmine bush;
So, the number is a multiple of 2, (and twice of a perfect square)

>> 8/9 ths of the whole swarm has remained behind;
So, it is divisible by 9

>> one female bee flies about a male that is buzzing within the lotus flower into which he was allured in the night by its sweet odour,but is now imprisoned in it.
Two are away

>> tell the number of bees.

Calculate yourself, you'll get 72 !
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Harisha M GCommented:
Or in a simple way, 8x/9 + sqrt(x/2) + 2 = x.
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