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Posers and Puzzles

Posers and Puzzles

  1. 29 Sep '06 20:10
    Sooo, My primary school head master read this out in assembly when I was about 8 years old. I was baffled by it at the time for a few weeks then completely forgot about it. Let's see if anyone can make any sense of it now.

    Three Arabian princes gathered around the aged Sheikh's deathbed to witness their father's final bequests. The family had fallen on hard times, but the Sheikh still owned a number of fine camels.

    "To you, my eldest son Fuad, I bequeath half my camels," intoned the Sheikh. "Use them wisely."

    "I will, O my father," said the boy, close to tears.

    "Next, to my second son Khalid, I bequeath one third of my camels." In a hoarse voice, Khalid thanked the old man for his generosity.

    "Finally, to my youngest son Ahmed- one ninth of my camels." Ahmed had not expected anything, and found himself unable to speak, so strong was his emotion.

    Within the night, the Sheikh was dead. Fuad, now the new Sheikh, was in charge of carrying out his father's bequest. He sent a servant to count the camels.

    "Seventeen?" The servant bowed low and confirmed the number. "How in the name of the Dust Devils of the Dismal Desert can I divide 17 camels? I cannot split a camel like a loaf of bread. A dead camel is of no use to anybody save the glue-makers."

    "Father would consult the Wise One," suggested Khalid tentatively.

    "Make it so."

    The Wise One (the local name for "mathematician" considered the problem carefully, making inscrutable notes in the margin of a small textbook of number theory and muttering to himself. He then instructed the Sheikh's servant to bring in his own, somewhat disreputable, camel.

    "How will this help?" asked Fuad sarcastically. "The problem is unchanged!"

    Without a word, the Wise One led nine camels?half of 18?and handed their reins to Fuad. Next, he handed six camels?one third of 18?to Khalid. Then Ahmed received two camels-one ninth of 18. Only one camel was left: the Wise One's own mangy beast. He clambered on to its back and rode away in silence, leaving the three princes to contemplate the miracle.
  2. Standard member PBE6
    Bananarama
    29 Sep '06 20:25
    Originally posted by jimslyp69
    Sooo, My primary school head master read this out in assembly when I was about 8 years old. I was baffled by it at the time for a few weeks then completely forgot about it. Let's see if anyone can make any sense of it now.

    Three Arabian princes gathered around the aged Sheikh's deathbed to witness their father's final bequests. The family had fallen on ...[text shortened]... in silence, leaving the three princes to contemplate the miracle.
    It's a pretty neat solution, although it does fudge the numbers a bit. Since that 18th camel is not part of the Sheikh's estate, the first son didn't receive 9/18 = 1/2 of his father's camels, he actually received 9/17 (>1/2) of the camels. Similarly, the second son received 6/17 (>1/3) of the camels, and the third son received 2/17 (>1/9) of the camels. But since everyone got a bit more than they bargained for (although less camel meat), everyone went away happy.