150 Puzzles In Crypt-arithmetic By Maxey Brooke Pdf

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Puzzles In Crypt-Arithmetic 150 150 PUZZLES IN CRYPT-ARITHMETIC by Maxey Brooke DOVER PUBLICATIONS, INC. NEW rORK Copyright © 1963 by Dover Publications, Inc. All rights reserved under Pan American and International Copyright Conventions.

Published simultaneously in Canada by McClelland and Stewart, Ltd. Published in the United Kingdom by Constable and Company Limited, 10 Orange Street, London, W.C.2.

1511 Puz;z;us in Crypt-Arithmetic is a new work published for the first time in 1963. Library of Congress Catalog Card Number: 61-liCJO! Manufactured in the United States of America Dover Publications, Inc.

180 Varick Street New York 14-, N.Y. CONTENTS PUZZLES ANSWERS 49 PUZZLES PUZZLES 1. The word 'crypt-arithmetic' was first introduced by M. Vatriquant writing under the pseudonym 'Minos.'

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In the May, 1931, issue of Sphinx, a Belgian magazine of recreational mathematics, he proposed this problem with these remarks: 'Cryptographers, to hide the meaning of messages, put figures in places of letters. By way of reprisal, we will replace each digit of the following problem with a distinct letter.' ABC xDE FEC DEC HGBC 2. Although the word was new, the type of puzzle was older. The earliest one in my collection is from the Strand Magazine for July, 1924: TWO x TWO = THREE 3. If the readers of Sphinx did not originate the problem, they certainly elevated it to a plane never achieved before or since.

Most of the problems in this book originated in that magazine. But just to assure you that the art has not died out, here is a recent one from Mathematics Magazine for May, 1960: EIR TM P LIB TO II T S RL 3 4 PUZZLES 4.

An earlier ancestor of crypt-arithmetic is the type of problem known as 'Arithmetical Restorations,' which were probably invented in India during the Middle Ages. An early problem of this type was proposed by W.

Berwick in the School World for July, 1906. All the digits except the seven 7's have been replaced by dots. The solution is unique.

But enough history. There are no mathematical formulas to solve these problems. It is a matter of pure ingenuity, reasoning power, and perseverance. However, a few general rules might be given. Take addition and subtraction. When the numbers at the A B right of a sum are of the form + A or + A, A must be equal to A zero.

13 xxAx xxBx, But if in the body of a problem we find +xxAx or +xxAx, xxAx xxBx A may be equal to zero or 9. CCA The problem + BBA can be analyzed thus: A = O. B can *CAA equal 0 or 9, but since A = 0, B must equal 9. C now can equal only 1 because B + C ends in zero.

The problem becomes 110+990 = 1100 PUZZLES 5 When two numbers of n digits give a total of n + I digits, the left digit of the sum must be 1. + AA BB CBC C can only equal 1.

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