Enigma 160: Fido’s fleas
10 January 2014
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From New Scientist #1305, 13th May 1982 [link]
Fido has fleas. He has fleas on his tail, a greater number on his head and yet a greater number on his belly. If you multiply those three numbers together, you get an amazing 3150. Why do that? Why indeed! So add them together instead and that will give you the number of fleas on his back.
Can you now work out the number of fleas on his tail? No, you cannot. Nor could you do it, even if you knew the number of fleas on his back. But, if I then threw in the fact that he has more on his belly than on head and tail put together, you could.
So how many fleas does Fido have on his tail?