What’s your number?

Another maths curiosity from the Futility Closet:

Fortuitous numbers
In American usage, 84,672 is said EIGHTY FOUR THOUSAND SIX HUNDRED SEVENTY TWO. Count the letters in each of those words, multiply the counts, and you get 6 × 4 × 8 × 3 × 7 × 7 × 3 = 84,672.

Here’s something I’ve (pointlessly) struggled with for a long time, now. Can you complete this sentence?

Written as words, there are _____________ letters in this sentence.

Use Excel’s LEN() function and AutoSum and try it like this, writing it out one word at a time.

number-1

So, forty three letters so far, with those two empty boxes. If you were to write forty three into those boxes, the total would obviously be more than forty three. A little trial-and-error, and we get

number-2

the answer fifty three. Well, that was fairly straightforward. Let’s try a slightly different sentence.

number-3

Maybe this isn’t so difficult, after all. One more?

number-4

That’s not right, there are forty nine letters in that sentence, not forty eight.

number-5

But now there are forty eight. Is it not possible to accurately complete that sentence, then?

Author: Terry Madeley

I work with student data and enjoy reading about art and design, data, education and technology.

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