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Answer 1

MATHS

Out of a swarm of bees, one fifth settled on a blossom of Kadamba, one third on a flower of Silindhiri, and three times the difference between these two numbers flew to the bloom of Kutaja. Only ten bees were than left the swarm. What was the number of bees in the swarm? (Note, Kadamba, Silindhiri and Kutaja are flowering trees. The problem is from the incident Indian text on algebra.)

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ANSWER

Let the number of bees be x.

Bees settled on a blossom of Kadamba =51x

Bees settled on Silindhiri =31x

Bees flew to the Kutaja =3(31−51)x=(156)x

The number of bees in the swarm 

=x−(51+31+156)x=10

x−1514x=10

15x=10

x=150

Hence, this is the answer.