
Puzzler: Match Math
RAY: We're back. You're listening to Car Talk with us, Click and Clack, the
Tappet Brothers, and we're here to discuss cars, car repair and the new
Puzzler.
TOM: I'm excited! I'm really looking forward to this!
RAY: Oh, shut up!
TOM: Well you made it sound like such a big deal.
RAY: I didn't. I have two pairs of puzzlers. Each pair is related, but not
to the other pair. So, I have two Puzzlers that are similar, and I have
another two Puzzlers coming up in the next few weeks that are also similar.
TOM: So you like to use these, like, sequentially? The similar ones?
RAY: Nonsequentially.
TOM: All non?
RAY: Yeah. Whatever case makes...
TOM: Or chronologically.
RAY: Or nonchronologically. And the beauty of these Puzzlers is their
brevity. As opposed to last week's.
TOM: And their autonomy, I suppose.
RAY: Yes, they are autonomous.
TOM: And their relatedness.
RAY: And their relatedness.
TOM: In another sense.
RAY: The first one is arithmetic, and I used this on the staff last week.
TOM: Oh, man!
RAY: And they gave us the second one.
TOM: I do remember this!
RAY: All right. Go and get a bunch of matchsticks. We'll wait. OK. Time's
up. A little piece of paper and a pen, with which you can represent
matchsticks. Read what the, make a fraction. The numerator of this fraction
is going to be Roman numerals, OK? And the Roman numeral is 23, which is
two Xs...
TOM: X-X-I-I-I.
RAY: Right?
TOM: And so you can see these being made up of matches. Two matches making
up...
RAY: Anyway, there are a bunch of matchsticks, and make your line. And then
the denominator is going to be 7 in Roman numerals, which is V-I-I. And
then an equals sign--it's a little equation--equals 2, which is represented
by two matchsticks, two vertical matchsticks, I-I. OK? Roman numeral 23,
X-X-I-I-I, over Roman numeral 7, which is V-I-I, equals 2, which is I-I,
capital. Obviously, this equation is wrong.
TOM: Right. It's close!
RAY: It's close enough! What the heck.
TOM: For them, it is close enough.
RAY: Your challenge is to move one matchstick and make the equation
correct. Now, you cannot turn it in, you cannot take one matchstick, for
example, and make it 22 over 7 does not equal 3.
TOM: That was my pretty quick solution.
RAY: Yeah, that's bogus. That's completely bogus. So, an unequals sign is
not allowed.
TOM: So, the question is, How can you move one matchstick and make this
into an actual equation?
RAY: There you go. Now, if you think you...
TOM: Equation! Equality! So to speak.
RAY: Yes.
TOM: And, by the way, one of the issues that came up, if I take one of the
matchsticks away from the X, I will be left with a sort of diagonal-facing
line...
RAY: That's bogus. That isn't...
TOM: And that means...
RAY: Nothing.
TOM: No, you can't do that.
RAY: Right. The answer.
TOM: No, you can't do that!
RAY: You can't!
TOM: You can't do that.
[ Car Talk Puzzler ]