Here is one poem from Lilavati:
A fifth part of a swarm of bees came to rest
on the flower of Kadamba,
a third on the flower of Silinda.
Three times the difference between these two numbers
flew over a flower of Krutaja,
and one bee alone remained in the air,
attracted by the perfume of a jasmine in bloom.
Tell me, beautiful girl, how many bees were in the swarm?
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Answered by
9
Answer:
15
Step-by-step explanation:
Number of bees- x
A fifth part of a swarm of bees came to rest on the flower of Kadamba- 1/5x
A third on the flower of Silinda- 1/3x
Three times the difference between these two numbers flew over a flower of Krutaja- 3*(1/3-1/5)x
The sum of all bees:
x=1/5x+1/3x+3*(1/3-1/5)x+1
x=8/15x+6/15x+1
1/15x=1
x=15
Proof:
3+5+6+1=15
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