I AM THE SUM OF 10 AND ANOTHER EVEN NUMBER I AM MORE THAN A DOZEN I AM THE SIDES OF 3 TRAPEZOIDS PLUS WH RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

A snowflake! 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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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  

River Dixon. We know his name is river, so 500 being D in Roman numerals, 10 being X, 1 being I, and an is the fourteenth letter of the alphabet. D at the start, X in the middle, in the middle of those two is I, so that spells DIX, near the end is none/0, which is like an O so that's DIXON. Then to the left of that is River so, RIVER DIXON. Did you answer this riddle correctly?
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A Watermelon 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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Your teeth Did you answer this riddle correctly?
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A girl scout with cookies! Did you answer this riddle correctly?
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The 3rd person is the "night" (knight) Did you answer this riddle correctly?
YES  NO  

I am an eye. Did you answer this riddle correctly?
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An eye Did you answer this riddle correctly?
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An eye Did you answer this riddle correctly?
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Toilet Did you answer this riddle correctly?
YES  NO  

Ivy

VY = VY Canis Majoris, one of the largest known stars
IV = Roman Numeral 4
V = representation of a bird Did you answer this riddle correctly?
YES  NO