

As an example, for any devil worshippers among us, the sum of the digits in 666 is 18.


If we sum the digits of any natural number and subtract that sum from the original number, the result is a whole multiple of nine. (For Matlab aficionados, Appendix A gives a Matlab software method of finding A in Eq. Because 36 – 32 = 4, A = 4 is the problem's solution. (1) for A, we view that equation as:īecause (523 + A)2 is a natural number, after multiplying it by 9, the sum of the digits on the left side of Eq. Try this yourself: multiply a natural number by 9 and add the product's digits to see that their sum is always a whole multiple of 9. That is, the whole number 3 times 9 equals 27. (By "natural number" I mean a positive whole number, what mathematicians call "positive integers.")įor example, 762 x 9 = 6858, and the sum of 6+8+5+8 is 27 which is a whole multiple of 9. Later I learned the solution requires us to know the curious property that when you multiply a natural number by 9, the sum of the product's digits are a whole multiple of 9. You are required, using pencil and paper, to find the digit A within 60 seconds.īack then, of course, I couldn't solve that problem in 60 seconds. I first began thinking the number 9 was special years ago when I encountered a straightforward math problem alleged to test a person's intelligence.
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