536 Puzzles and Curious Problems

(Elliott) #1
48 Arithmetic & Algebraic Problems

Every letter, he said, stood for a different digit, I to 9 (0 excluded). The
number represented by the first four digits, when multiplied by the number
containing five digits, equals the number containing all the nine digits in the
order shown. Can you substitute digits for letters so that it works?



  1. THE SHOPKEEPER'S PUZZLE


A shopkeeper, for private marking, selects a word of ten letters (all differ-
ent) such as NIGHTMARES, where each letter stands for one of the figures
I, 2, 3, 4, 5, 6, 7, 8, 9, 0, in their order. So NI stands for $12.00, and
$34.00 would be GH. Assuming this little addition sum is in such a private
code, can you find the man's key word? It is not difficult.


GAUNT
OILER
RGUOEI


  1. BEESWAX


The word BEESWAX represents a number in a criminal's secret code, but
the police had no clue until they discovered among his papers the following
sum:

EASEBSBSX
B PWWKSETQ
KPE PWEKKQ

The detectives assumed that it was an addition sum and utterly failed
to solve it. Then one man hit on the brilliant idea that perhaps it was a case
of subtraction. This proved to be correct, and by substituting a different figure
for each letter, so that it worked out correctly, they obtained the secret code.
What number does BEESWAX represent?



  1. WRONG TO RIGHT


"Two wrongs don't make a right," said somebody at the breakfast table.
"I am not so sure about that," Colonel Crackham remarked. "Take this as
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