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A palindromic equation (Posted on 2018-03-04)

This simple palindromic equation
N O R A * L = A R O N
was created by Martin Gardner

Enjoy solving it p&p!

See The Solution Submitted by Ady TZIDON

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Puzzle Solution Summary

Comment 5 of 5 |

(In reply to Answer by K Sengupta)

Solving past problems, we know that the ratio between a 4 digit number and its reversal is an integer, only when:

9801/1089 = 9, and 8712/2178 =4

or, 1089 * 9 = 9801, and: 2178*4 = 8712

In the former case, we have: A= L=9, which means that the digit 9 is assigned to more than one letter. This is a contradiction.

The latter case is perfectly valid, where :

N=2, O=.1, R = 7, A= 8, L = 5.

Accordingly, this must correspond to the solution to the given alphametic.

Posted by K Sengupta on 2022-04-25 01:36:14

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