Henry Wadsworth Longfellow introduced several Sanskrit puzzles to American audiences as part of his novel, Kavanagh. Among them was this one:
"One-fifth of a hive of bees flew to the Kadamba flower; one-third flew to the Silandhara; three times the difference of these two numbers flew to an arbor; and one bee continued flying about, attracted on each side by the fragrant Ketaki and the Malati. What was the number of the bees?"
h is the total number of bees in the hive:
ReplyDeleteh = (1/5)h + (1/3)h + 3h(1/3 - 1/5) + 1
h - (1/5)h - (1/3)h - 3h(1/3 - 1/5) = 1
h(1 - 1/5 - 1/3 - 1 + 3/5) = 1
h(2/5 - 1/3) = 1
h(6/15 - 5/15) = 1
h(1/15) = 1
h = 15
Wow, that was fast!
ReplyDeleteI'm happy to goof off for a bit on a Friday.
ReplyDeleteDamn you and your algebraic ways!
ReplyDelete