536 Puzzles and Curious Problems

(Elliott) #1
Answers 395


  1. DOMINO FRACfIONS


The illustration shows how to arrange the dominoes so that each of the three
rows of five sum to 10. Give every fraction the denominator 60. Then the
numerators of the fractions used must sum to 1,800, or 600 in each row,
to produce the sum 10. The selection and adjustment require a little thought
and cunning.


  1. A NEW DOMINO PUZZLE


These four dominoes fulfill the conditions. It will be found that, taking
contiguous pips, we can make them sum to any number from I to 23 inclusive.

[Victor Meally has improved Dudeney's solution. The following chain of
four dominoes, 1-3,6-6,6-2, 3-2, gives sums from I through 29. Meally also
points out that three dominoes, 1-1,4-4,4-3, have sums from I through 17.
-M.G.]

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