******* The Car Talk Puzzler Psychic Friends Network*******

>From the Desk of

Maury Maille
Puzzler Tower
Car Talk Plaza
Hahvahd Squayah
Our Fair City

This Week's Car Talk Puzzler: In Search of a Magic Number

RAY: This next puzzler is mathematical in nature. Imagine two numbers, such 
that their product is equal to their sum. I'll give you two numbers: 5 and 1 
and 1/4. You add them, and you get 6 and 1/4. You multiply them, and you also 
get 6 and 1/4.

TOM: You do?

RAY: You do! Now, I'm going to put on one additional condition. Both numbers 
have to be the same. For example, let's take 3/7ths as the number. 3/7ths and 
3/7ths add up to 6/7. But, unfortunately, they multiply to 9/49ths.  But if it 
worked, then, well, that would be the kind of answer I'm looking for.

TOM: So you're looking for whole numbers as well as fractions?

RAY: Any number you can think of. Fractions, irrational numbers, you name it, 
we'll use it.

Is there such a number that if you multiply it by itself the product is equal 
to adding it to itself?

If so, what are those numbers?

Of course zeros are not allowed, because everybody knows zero plus zero is 
equal to zero times zero. Zero is disqualified.

But what are the other numbers?

Think you know the answer? Drop us a note via

http://www.cartalk.com/email/email.html

If you're right and we select your answer, we'll ship you a $26 Shameless 
Commerce gift certificate.

Want to listen to Ray obfuscate the puzzler in person? Listen anytime, at

http://www.cartalk.com/content/puzzler/

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Remember last week's puzzler? The Self-Adjusting Mystery Clock

RAY: This puzzler was sent in by a fellow named Mark Sylvia.

Here it is:

"It used to be that, when we changed into or out of Daylight Savings Time, you 
had to manually change all the clocks and appliances in your house.

"Now, many of them are wired into sources that change them for us.  So, for 
example, you change your wall clock and your microwave clock, but your 
computer, your cell phone and your cable TV clocks automatically show the newly 
changed time without your having to do anything.

"There is, however, a certain clock in my house that is not wired into 
anything. In fact, it runs on a battery, and it reads correctly all the time 
without my having to change it every spring and fall at the time changes.

"The question is, how does it do this?

"And the hint is, I didn't have one of these when I lived in Kansas."

Ready for the answer?

Here you go:

http://www.cartalk.com/content/puzzler/

So, did you figure it out?

Yours in weekly puzzler torment,

Maury Maille
Puzzler Dissemination Specialist
Car Talk Plaza

***************
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***********************************
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