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The Puzzler

Puzzler Answer: Get Out Your Matchsticks

RAY: Hi, we're back. You're listening to Car Talk with us, Click and Clack, the Tappet Brothers, and we're here to talk about cars, car repair and the answer to last week's Puzzler. Now, this is the second in my series of matchstick Puzzlers.

TOM: The Matchstick series!

RAY: The Matchstick series--it's like Matchstick cars. Matchbox, those are MatchBOX cars--no wonder I got it wrong! I asked our listeners to get out their matchsticks, or their pen and paper, and make the following Roman numeral: 7, which is V-I-I, then an equals sign, which is two parallel matchsticks, then the Roman numeral 1. So the equation is: Roman numeral 7 equals Roman numeral 1, or V-I-I equals I. Now, as with the other matchstick Puzzler--and all matchstick Puzzlers, I might add--you must move one matchstick to make this a valid equation.

TOM: Yeah.

RAY: This is unnecessary to say this, because you can't move one and make the thing with the unequals sign, because that's not an equation, that's an inequation.

TOM: Inequation, yes. I've heard of them.

RAY: Is that an inequality?

TOM: Yes.

RAY: Now, I mentioned that there are two possible solutions, and one of them Dougie came up with right away, and we decided that was one of the moron solutions.

TOM: Wow! What did he come up with?

RAY: Well, he came up with this, which is not too bad, and it's akin to the right answer. He said take the second I of the V-I-I, and put it below and to the left so it's 1 to the V-I power, or 1 to the sixth power, equals 1.

TOM: What's wrong with that?

RAY: What's wrong with that is, it's not on the right line.

TOM: Oh, gee...

RAY: Ah-ah-ah-ah!

TOM: Oh, I would have given him full credit for that.

RAY: No, I gave him 40 percent credit, and he had to clean the erasers after class.

TOM: There is no line here! It says, on...your right line.

RAY: There is...there is a... you're right, you're right, you're right--there is a line.

TOM: You're right. There is a line.

RAY: Yeah.

TOM: No credit! Give him nothing!

RAY: If you were running 1 to the sixth power equals 1, you'd write it 1, and the 6 would be above!

TOM: Right. The 6 would be above; yeah. Dougie, no credit.

RAY: No credit. My answer, however, I think is elegant.

TOM: Oh, yeah!

RAY: Isn't it?

TOM: It is, I admit it is.

RAY: You take that same 1 that Dougie...

TOM: Of the 7, so you got V-I-I and you take the last I from the V-I-I...

RAY: And you place it touching the right upper portion of the V, and you extend it in a horizontal direction across the remaining I, making a square-root sign...

TOM: How sweet it is!

RAY: ...Called the square root of 1 equals 1. I think that that's pretty snazzy. And that was the answer that I was looking for, so...

TOM: By the way, did we get some nasty mail.

RAY: Oh, about the....

TOM: About number one in the series! Twenty-two sevenths; I mean, we knew this, of course.

RAY: Well, we're going to get nasty mail about this, too, because the square-root sign...

TOM: Nah, that, well...

RAY: I mean, these are just matchsticks.

TOM: Yeah, I mean, what do you want?

RAY: And if you didn't get the answer, it's just sour grapes. If you didn't get 22 sevenths and you wrote to us saying 22 sevenths isn't pi, it's because you didn't get it! If you got it, you would be among the proud. The few, the proud.

TOM: That's true.

RAY: Et cetera. Who's our winner?

TOM: Oh.

RAY: Our winner this week...

TOM: Look at this!

RAY: Whoa!

TOM: That's where he is! He's in Phoenix, Arizona; the winner is Richard Kimball.

RAY: Who, of course, everyone knows as Doctor Richard Kimball.

TOM: Doctor Richard Kimball.

RAY: The "Fugitive"!

TOM: He's hiding out in Phoenix, Arizona!

RAY: Quick! Call Lieutenant Gerard!

TOM: He's got nothing better to do than send in Puzzler answers to us.

RAY: Hey, the guy's living hand-to-mouth. I mean, a $25 gift certificate--I don't know what he can do with that.

TOM: Hey, it might be a Walkman...because, Doctor Kimball, for having your correct answer chosen, among both of the...

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