



Digit Square
 
 

The digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 must be put in the depicted square,
in such a way that the sums of the numbers in each row, column, and diagonal are equal.
 

The Question:
How should the numbers be arranged in the square?
 

The Answer:
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Another Question:
The numbers 1 up to 16 must be placed in the circles of the square depicted below,
in such a way that the sum of the numbers in each row, column, and diagonal amounts to 34.
How should the numbers be arranged in the square?
 

Another Answer:
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Yet Another Question:
The numbers 1 up to 25 must be placed in the circles of the square depicted below,
in such a way that the sum of the numbers in each row, column, and diagonal amounts to 65.
How should the numbers be arranged in the square?
 

Yet Another Answer:
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Four Wise Words
 
 

A long, long time ago, two Egyptian camel drivers were fighting for the hand of the daughter of the sheik of Abbudzjabbu.
The sheik, who liked neither of these men to become the future husband of his daughter,
came up with a clever plan: a race would determine who of the two men would be allowed to marry his daughter.
Therefore, the sheik organized a camel race.
Both camel drivers had to travel from Cairo to Abbudzjabbu, and the one whose camel would arrive last in Abbudzjabbu,
would be allowed to marry the sheik's daughter.
The two camel drivers, realizing that this could become a rather lengthy expedition,
finally decided to consult the Wise Man of their village. Arrived there,
they explained him the situation, upon which the Wise Man raised his cane and spoke four wise words.
Relieved, the two camel drivers left his tent: they were ready for the contest!
 

The Question:
Which four wise words did the Wise Man speak?
 

The Answer:
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Number Star
 

Given the following figure:
The numbers 16, 18, 20, 22, 24, 26, 28, 28, 32, and 36 need to be placed in the circles of the figure,
in such a way that the sum of numbers of each line amounts to 100.
 

The Question:
How can you do this?
 

The Answer:
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Word Sums
 
 

In the additions below, all digits have been replaced by letters.
Equal letters represent equal digits and different letters represent different digits.
RE + MI = FA
DO + SI = MI
LA + SI = SOL
 

The Question:
What do the complete additions look like in digits?
 

The Answer:
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Another Question:
What about this one?
TWENTY
TWENTY
TWENTY
TEN
TEN
 +
EIGHTY
 

Another Answer:
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Yet Another Question:
Thanks to Mike and Ruth VanderMeer from Canada, we can present you the following puzzle:
Four words add up to a fifth word numerically:
mars
venus
uranus
saturn
 +
neptune
Each of the ten letters (m, a, r, s,
v, e, n, u, t, and p) represents a digit in the range 0 up to 9
(equal letters represent equal digits and different letters represent different digits).
Furthermore, the digits 1 and 6 are being used most frequently.
What number does neptune represent?
 

Yet Another Answer:
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The Fourth Question:
What about this one?
SEND
MORE
 +
MONEY
 

The Fourth Answer:
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The Fifth Question:
In the addition below, all digits have been replaced by letters.
Equal letters represent equal digits and different letters represent different digits.
ONE
DEUX
 +
DREI
The digit 0 does not occur.
What is the highest possible value for DREI?
 

The Fifth Answer:
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Clever Commuter
 
 

Every day, Fred takes the train to travel from his work back to Alkmaar, his place of residence.
Usually, he arrives at the station of Alkmaar at six o'clock, and exactly at that moment, his wife picks him up by car.
Yesterday evening, Fred took an earlier train, without informing his wife,
and therefore he already was at the station of Alkmaar at five o'clock.
He decided to walk part of the way to meet his wife.
When he met the car with his wife, he drove home with her.
In this way, they were home ten minutes earlier than normal.
Fred's wife always drives the entire way between home and station at the same constant speed.
 

The Question:
How long did Fred walk yesterday evening?
 

The Answer:
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Crazy Cows
 
 

An old farmer died and left 17 cows to his three sons.
In his will, the farmer stated that his oldest son should get ^{1}/_{2},
his middle son should get ^{1}/_{3},
and his youngest son should get ^{1}/_{9} of all the cows.
The sons, who did not want to end up with half cows,
sat for days trying to figure out how many cows each of them should get.
One day, their neighbor came by to see how they were doing after their father's death.
The three sons told him their problem.
After thinking for a while, the neighbor said:
"I'll be right back!"
He went away, and when he came back, the three sons could divide the cows according to their father's will,
and in such a way, that each of them got a whole number of cows.
 

The Question:
What was the neighbor's solution?
 

The Answer:
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Acquiring Animals
 
 

Peasant Marian wants to buy new chickens, pigs, and horses.
A new chicken costs 50 eurocents, a pig 3 euros, and a horse 10 euros.
Peasant Marian has 100 euros with which she wants to buy exactly 100 animals,
but in such a way, that she has at least one of each kind of animal.
 

The Question:
How many animals must peasant Marian buy of each kind?
 

The Answer:
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Another Question:
A horse is worth as much as two bulls and one sheep.
A bull is worth as much as two cows.
Two cows are worth as much as five donkeys.
A donkey is worth as much as four sheep.
How many sheep is a horse worth?
 

Another Answer:
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Yet Another Question:
Farmer Axel has bought new cows and chickens.
Together, the animals have 25 heads and 72 legs.
How many cows and chickens did farmer Axel buy?
 

Yet Another Answer:
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The Fourth Question:
Peasant Anya has horses, cows, and sheep in her stable.
We know the following:
 except four, all are horses;
 except four, all are cows;
 except four, all are sheep.
How many animals of each kind does peasant Anya have in her stable?
 

The Fourth Answer:
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