Buying House Number Letters

The Puzzler

TOM: Let's see. If he beats up the first two guys, he can have the T and the E and he'll only have to buy, oh, 12. The T and the W --

RAY: Don't you notice --

TOM: -- and the E, oh.

RAY: Well, in fact, let's look at the word “twelve.” And then let's look at the word “eleven.”

TOM: Eleven.

RAY: They share four letters.

TOM: Yeah.


TOM: Yeah.

RAY: OK? So if you take that away from the 12, you get T-W left over. If you take those same four letters away from 11, you have N-E left over. Now, let's go back to the first two guys.

TOM: Yeah.

RAY: One cost two dollars, and two cost three dollars. What have we learned? Now we don't know the cost of any of the letters individually. But we do know that a T and a W costs a dollar more than an N and an E.

TOM: Yeah. We do know that. I do know that. I see it right here.

RAY: We do know that. And as luck would have it, the T and W in 12 are going to cost a dollar more than the N and the E in 11. We know the whole of 11 costs five bucks, so 12 must cost six bucks. Pretty good. Huh?

TOM: Wow.

RAY: So who is our winner?

TOM: The winner this week is Meg Schneider from Boise, Idaho. Congratulations!

[ Car Talk Puzzler ]

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