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BloodstarLiberals and Libertarians on Everything and Nothing |
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Original Puzzle:
JKCD ZJN AFHCV WO SFRQFONV FD QNFQCN AJF JKBN OFRNZJWYM ZF OKP KYV SKYZ KYV ZJN FZJNH JKCD AJF JKBN YFZJWYM ZF OKP KYV ENNQ FY OKPWYM WZ
- HFINHZ DHFOZ –
Solution:
HALF THE WORLD IS COMPOSED OF PEOPLE WHO HAVE SOMETHING TO SAY AND CAN’T, AND THE OTHER HALF WHO HAVE NOTHING TO SAY AND KEEP ON SAYING IT.
ROBERT FROST
Cipher:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
W V L F K O Q R B H A U G E S Y P M C X Z D I J N T
Original Problem:
Billy & Suzy
Suzy is ten years older than Billy, and next year she will be twice as old as Billy. How old are they now?
Solution:
This is just regular algebra (two equations and two unknowns). There are several ways to continue:
1. Solve for one variable (in one equation) and substitute in the other equation.
2. Subtract one equation from another (after changing their form, perhaps), to solve for one variable.
3. Use Matrices.
4. Use Determinants.
5. Graph the equations (not as easy).If we solved for one variable, then we go back and solve for the other variable. Let’s use the first method. S=10+B. Substitute that into the second equation:
10+B+1=2(B+1)
B=9
Going back into the first equation, we find that S=19. Billy is 9, Suzy is 19.
Original Problem:
Four words add up to a fifth word numerically:
mars
venus
uranus
saturn
——– +
neptuneEach 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?
Solution:
mars m = 4
venus a = 5
uranus r = 9
saturn s = 3
-------- + v = 2 4593
neptune e = 0 20163
n = 1 695163
u = 6 358691
t = 8 -------- +
p = 7 1078610
Original Puzzle: In the figure below, you can fill in each of the sixteen numbers 1 through 16, in such a way that the sum of the numbers in each of the seven rows is 29.
Solution:
Better late than never. 
Cryptogram #2 Solution
ROW ROW ROW YOUR BOAT GENTLY DOWN THE STREAM.
Original Puzzle:
You must find the ages of nine brothers and sisters in the same family so that:
- There is a triplet and two pairs of twins
- Every age is a prime number
- The sum of the nine ages is 153
- We can build a magic square 3×3 with the nine ages
Solution:
The ages are 5, 11, 11, 17, 17, 17, 23, 23, and 29.
The magic square looks like this (or similar):
Top row: 11, 29, 11
Middle row: 17, 17, 17
Bottom row: 23, 5, 23
Fill in the blanks with the words in bold, transposed.
1. Pray, Simon, that I may be cured of ______.
2. A certain ______ used green soap.
3. Cleon paints not in _____.
4. Dire loss is often sustained by _____.
5. Prejudice runs even through _____.
Solutions:
1. parsimony
2. personage
3. Constantinople
4. soldiers
5. jurisprudence
Original Problem:
A very bright girl riding the Merry-Go-Round remarked, “A third of the number of children riding ahead of me, added to 3/4 of those riding behind me gives the correct number of kids on this ride”;
Can you tell how many riders there were?
Solution:
N = Total number of kids
Since this is a circle, the number of kids behind the girl = number of kids in front of her = N-1
(1/3 + 3/4) x (N-1)=N
N=13
Logic Puzzle #1 (Solution)
- Rhonda Dart, maple tree, in the backyard, Friday
- Sally Frost, ash tree, by the patio, Monday
- Tracy Grand, cherry tree, in the garden, Wednesday
- Wanda Best, spruce tree, in the front yard, Thursday
Original puzzle:
Two friends who have an eight-quart jug of water wish to share it evenly. They also have two empty jars, one holding five quarts, the other three. How can they each measure exactly 4 quarts of water?
Solution:
Yes, the water can be divided into two equal portions:
( 8, 0, 0 ) 0: Beginning
( 3, 5, 0 ) 1: 5 gallons from #1 into #2.
( 3, 2, 3 ) 2: 3 gallons from #2 into #3.
( 6, 2, 0 ) 3: 3 gallons from #3 into #1.
( 6, 0, 2 ) 4: 2 gallons from #2 into #3.
( 1, 5, 2 ) 5: 5 gallons from #1 into #2.
( 1, 4, 3 ) 6: 1 gallon from #2 into #3.
( 4, 4, 0 ) 7: 3 gallons from #3 into #1. DONE!
How much land can be enclosed by a dozen 16 foot beams?
(The beams are straight.)
————————————————-
Solution: Since the beams are straight, a 12-sided polygon (dodecagon) will yield the biggest area.
Total area: approx. 2866.215 sq. ft.
