A WORD D IN A ROOM THE ROOM HAS ONLY TWO POSSIBLE EXITS TWO DOORS THROUGH THE FIRST DOOR THERE IS A ROOM CONSTRUCTED FROM MAGNIFYING GLTHE BLAZING HOT SU E RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

John Albert "L.A." Burr Did you answer this riddle correctly?
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Phil Brooks, the disposable needle Did you answer this riddle correctly?
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The elevator. Invented by Alexander Miles Did you answer this riddle correctly?
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George Washington Carver Did you answer this riddle correctly?
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Rutherford B. Hayes Did you answer this riddle correctly?
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A snowflake! Did you answer this riddle correctly?
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Zombies are dead men, Jeans are mended. Did you answer this riddle correctly?
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Salt and Pepper Did you answer this riddle correctly?
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Once the water is boiling, turn the three-minute timer and five-minute timer over. When the three-minute timer runs out, put the egg in the boiling water. When the five-minute timer runs out, two minutes have elapsed and it is time take the egg out of the water. You don't need the four-minute timer for this riddle. Did you answer this riddle correctly?
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DAVID (Roman numerals) Did you answer this riddle correctly?
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Current Future Past

Princess x 2z (x+y)/2
Prince y x z

I then created three equations, since the difference in their age will always be the same.

d = the difference in ages

x y = d
2z x = d
x/2 + y/2 z = d

I then created a matrix and solved it using row reduction.

x y z

1 -1 0 d
-1 0 2 d
.5 .5 -1 d

It reduced to:

x y z

1 0 0 4d
0 1 0 3d
0 0 1 5d/2

This means that you can pick any difference you want (an even one presumably because you want integer ages).

Princess age: 4d
Prince age: 3d

Ages that work

Princess:
4
8
16
24
32
40
48
56
64
72
80

Prince:
3
6
12
18
24
30
36
42
48
54
60 Did you answer this riddle correctly?
YES  NO  

A Waterfelon Did you answer this riddle correctly?
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She hands the 10th child the jar with one cookie left in it. Did you answer this riddle correctly?
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1, after that your stomach is not empty Did you answer this riddle correctly?
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He took one cookie..and another ONE...and another one Did you answer this riddle correctly?
YES  NO