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Magic number 9
Magic number 9








magic number 9

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

magic number 9 magic number 9

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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Magic number 9