DIONYSIOS.

_The Number Nine._--Can any of your mathematical correspondents inform me

of the law and reason of the following singular property of the numbers?

If from any number above nine the same number be subtracted written

backwards, the addition of the figures of the remainder will always be a

multiple of nine; for instance--

972619

916279

------

56340 the sum of which is 18, or 9 × 2.

======

925012

210529

------

714483 the sum of which is 27, or 9 × 3.

======

83

38

--

45 the sum of which is 9.

==

Notes and Queries, Number 198, August 13, 1853 A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Geneologists, etc. · 第 52 / 182 题