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A Swarm of Bees

Solution Step 0/0
Here is one problem from an ancient Indian treatise.

If 1/5 of the bee swarm flew to lavender flowers, 1/3 to linden flowers, the triple difference of these numbers flew to the tree, and one bee continued to fly between fragrant ketaki and malati, then how many bees were there?

Explanations

1/3 is bigger than 1/5.

The difference between 1/5 and 1/3 is: 1/3 - 1/5 = 2/15. The triple of this difference is 6/15.

Add all three fractions:

1/5 + 1/3 + 6/15 = 14/15.

The remaining 1/15 is the one last bee.

Thus, the entire swarm consisted of 15 bees.
Check 12 bees
Check 13 bees
Check 14 bees
Check 15 bees

Puzzle A Swarm of Bees

Puzzle A Swarm of Bees