A MAN FOUND DEAD ON SU RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

The Golf Tee
Invented by George Franklin Grant Did you answer this riddle correctly?
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Air conditioner Did you answer this riddle correctly?
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A Leprechaun Did you answer this riddle correctly?
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Pot of gold Did you answer this riddle correctly?
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First you divide the 25 horses into 5 groups of 5. You conduct the 5 races and take all of the fastest horses in those races and have a race with them, giving you the fastest horse. Then you take the remaining 24 horses (excluding the fastest) and remove the 4th and 5th horses in the first set of 5 races (since they definitely have 3 horses faster than them), leaving you with 14 horses. Next you can remove all of the horses that were beat in the preliminary race by the horses that got 4th and 5th in the championship race, leaving you with 8 horses. Finally, you can remove the horses that remain that lost to the 3rd place horse in the final race in the preliminary race and the horse that got 3rd in the preliminary to the horse that got 2nd in the championship race, leaving you with 5 horses.

You can then run a final race where the 1st and 2nd place horses are the 2nd and 3rd fastest. Then you know the 3 fastest horses. Did you answer this riddle correctly?
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First the farmer takes the rabbit across and returns to the fox & cabbage. Next, the farmer takes the cabbage, but when he arrives to the other side with the rabbit, he leaves the cabbage and takes the rabbit back on the raft with him to return and get the fox. He exchanges the rabbit for the fox and returns to drop the fox off with the cabbage, and finally goes back to get the rabbit. 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  

Sawdust. Did you answer this riddle correctly?
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Honey Did you answer this riddle correctly?
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50 lbs. Did you answer this riddle correctly?
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He has only gotten one fortune cookie. Did you answer this riddle correctly?
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A monster with big hands! Did you answer this riddle correctly?
YES  NO  

It was a Submarine. Did you answer this riddle correctly?
YES  NO  

Susy can fill the sink and watch it drain. When the water reverses direction when going down the drain, she will know they have crossed the equator. Did you answer this riddle correctly?
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Ice Did you answer this riddle correctly?
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