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A Curious Property of Numbers

Published online by Cambridge University Press:  03 November 2016

A. A. Krishnaswami Ayyangar
A. A. Krishnaswami Ayyangar*
Affiliation:
Lakshmi Nivas, Mysore, India
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Extract

The difference between any number and another formed by reversing its digits has certain interesting properties, which, I believe, have not been explicitly noticed before, and these properties determine the necessary and sufficient conditions that a number may be expressed as such a difference.

To begin with, let us take a number having an even number of digits and denote it by

where a p , b p are the middle digits, b 1 the units digit and a 1>b 1.

Type
Research Article
Information
The Mathematical Gazette , Volume 11 , Issue 162 , January 1923 , pp. 230 - 232
Copyright
Copyright © Mathematical Association 1923

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