536 Puzzles and Curious Problems

(Elliott) #1
Answers 257


  1. A SQUARE OF DIGITS


In every one of the following eight sums all the nine digits are used once,
and the difference between the successive totals is, throughout, 9:


243 341 154 317 216 215 318 235
675 586 782 628 738 748 654 746
918 927 936 945 954 963 972 981


  1. THE NINE DIGITS


The number 94,857,312, multiplied by 6, gives the product 569,143,872, the
nine digits being used once, and once only, in each case.
[Victor Meally supplies two other solutions: 89,745,321 X 6 = 538,471,926,
and 98,745,231 X 6 = 592,471,386.-M. G.)



  1. EXPRESSING TWENTY-FOUR


The following is a simple solution (by G. P. E.) for three 7's:

From this we obtain the answer for three l's by substituting I for 7 in every
case, and putting plus instead of minus.
[Dudeney does not give solutions for the remaining digits, but Victor
Meally has supplied them:


(4+4-4)!


(5 -%)!


(~-6)!

8+8+8


(V9 + ~)!


-M.G.)

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