I AM IN FOOTBALL BUT NOT IN CRICKET I AM PRESENT IN A DOG BUT NOT IN A CAT IAM ALSO IN A HOUSE BUT NOT IN BAN RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

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Prince Age Riddle

Hint:
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
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Sailing On The Ocean

Hint:
He took one bite of it but it was not the same meat that his wife had given to him on the island. He realized that the meat she had given him on the island was really her dead son. So he went out and killed himself because he couldn't live with himself after he ate his own son.
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Covered By A Patch

Hint:
An eye
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Topping On A Hawaiian Pizza

Hint:
I am a pineapple
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When Youre Feeling Sick

Hint:
I am the hospital
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Promise Not To Freeze

Hint:
Refrigerator
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Who Killed Them?

Hint:
The maid did because she said she was dusting the corners, but it's a circular house , so she had to be doing something else, which was killing the kids.
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A Gift To His Daughter

Hint:
It was a coconut
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The Cowboys Hair

Hint:
Whatever color your hair is.
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The Stupid Pianist Riddle

Hint:
He was playing it by ear
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The Countdown Is On

Hint:
Advent calendar
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The Spit Jam Mystery

Hint:
The third servant because they said they were dusting the corners of the house, but the house has no corners since it's a circle!
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The Ship Thief Riddle

Hint:
The thief is the Pakistani guy. It is because the flag of Japan looks same when upside down and no one can tell if it is upside down. So, he was telling a lie.
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Aircraft Riddle

Hint:
A helicopter
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Mystery Hunting Riddle

Hint:
Lice
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