Prince Age Riddle
A princess is as old as the prince will be when the princess is twice the age that the prince was when the princess's age was half the sum of their present ages.
What are their ages?
What are their ages?
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 Did you answer this riddle correctly?
YES NO
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
The Weight Of A Melon Riddle
Watermelon is 99% water. I have 100 pounds of watermelon. After a week, drying in the sun, the shriveled watermelon had only dried down to being 98% water. What is the total weight of the watermelon now?
Hint: We are to determine X the total mass of melon after the drying.
The Dry weight, DW is 1lb both before and after the drying.
The New Water weight, WNW is clearly X - DW or X - 1
Breaking In Half
Cindy is holding something in her hands. She is able to break it into thirds by only breaking it in half. What is Cindy holding?
Hint:
Cindy is holding a fortune cookie. By breaking it in half, she has received not only two halves of the cookie, she now also has the fortune, making the cookie into thirds. Did you answer this riddle correctly?
YES NO
YES NO
I Never Get A Hit
Hint:
I Have No Words
I am a window, I am a lamp, I am clouded, I am shining, and I am coloured; set in white, I fill with water and overflow. I say much, but I have no words. What am I?
Hint:
I Am Bright
Im bright but Im not clever
I burn but Im not a bonfire
I sound like Im a celebrity but Im not famous
I twinkle but Im not an eye
I can be seen at night but Im not the moon
I am a?
I burn but Im not a bonfire
I sound like Im a celebrity but Im not famous
I twinkle but Im not an eye
I can be seen at night but Im not the moon
I am a?
Hint:
9 Golf Balls
You know that out of your 9 golf balls there is one that is lighter than the others. But, the light ball is to small a difference for the "hand balance!" You're in luck, the course you're at has a scale, but you can only afford to use it 2 times. How do you figure it out?
Hint:
STEP 1: Divide it into sets of three. If you put one set on either side, it'll either equal the same, or you'll see which set is lighter. Either way, you narrow it down to three balls.
STEP 2: put two of the balls on the scale. If they're equal, the last ball is defective, but if not, the scale will tell you which one is lighter. Did you answer this riddle correctly?
YES NO
STEP 2: put two of the balls on the scale. If they're equal, the last ball is defective, but if not, the scale will tell you which one is lighter. Did you answer this riddle correctly?
YES NO
3 Cuts Riddle
Hint:
Solution 1: Use two cuts to divide the cake into four equal pieces (quarters). For the third cut, cut the cake in half, horizontally. Some pieces may not have any icing, but their size will be equal.
Solution 2: As in the first solution, use two cuts to divide the cake into four equal pieces (quarters). Then, stack the four pieces on top of each other and use a third cut to cut all four pieces in two. Did you answer this riddle correctly?
YES NO
Solution 2: As in the first solution, use two cuts to divide the cake into four equal pieces (quarters). Then, stack the four pieces on top of each other and use a third cut to cut all four pieces in two. Did you answer this riddle correctly?
YES NO
How Many Ducks
There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there in total?
Hint:
Three. Theyre all in a row, so ducks 1 and 2 are in front of duck 3, ducks 2 and 3 are behind duck 1 and duck 2 is in the middle. Did you answer this riddle correctly?
YES NO
YES NO
Topping On A Hawaiian Pizza
I have hard skin but Im not a rhinoceros
Im sometimes cut into rings but Im not a tree
Im yellow on the inside but Im not a mango
Im a fruit but Im not a banana
Im a topping on a Hawaiian pizza but Im not ham
What could I be?
Im sometimes cut into rings but Im not a tree
Im yellow on the inside but Im not a mango
Im a fruit but Im not a banana
Im a topping on a Hawaiian pizza but Im not ham
What could I be?
Hint:
When Youre Feeling Sick
Im a type of building but Im not a shed
I have many rooms but Im not a house
I have several departments but Im not a grocery store
I have many beds but Im not a hotel
Im where you might go when youre feeling sick but Im not a drugstore
What am I?
I have many rooms but Im not a house
I have several departments but Im not a grocery store
I have many beds but Im not a hotel
Im where you might go when youre feeling sick but Im not a drugstore
What am I?
Hint:
The Emperor's Proposition Riddle
You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles and 2 empty bowls. He then says, "Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die."
How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?
How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?
Hint: The answer does not guarantee 100% you will chose a white marble, but you have a much better chance.
Place 1 white marble in one bowl, and place the rest of the marbles in the other bowl (49 whites, and 50 blacks).
This way you begin with a 50/50 chance of choosing the bowl with just one white marble, therefore life! BUT even if you choose the other bowl, you still have ALMOST a 50/50 chance at picking one of the 49 white marbles. Did you answer this riddle correctly?
YES NO
This way you begin with a 50/50 chance of choosing the bowl with just one white marble, therefore life! BUT even if you choose the other bowl, you still have ALMOST a 50/50 chance at picking one of the 49 white marbles. Did you answer this riddle correctly?
YES NO
Coconut Toll Booth Riddle
There is a beautiful garden surrounded with water on three sides and only one road leading to it. This garden has thousands of coconut trees. Anyone can visit to pick coconuts.
The coconuts can be taken in boxes only. Each box can carry 20 coconuts.You can take as many boxes as you like for free but there are ten toll barriers on the road. Each toll booth collects tax in the form of you guessed it: coconuts. The number of coconuts taken is equal to the number of boxes. For example if you are carrying 50 boxes of coconut you have to pay 50 coconuts at each barrier.
If you took 10 boxes filled with coconuts from garden, tell me how many coconuts would you have remaining after crossing all ten toll booths?
The coconuts can be taken in boxes only. Each box can carry 20 coconuts.You can take as many boxes as you like for free but there are ten toll barriers on the road. Each toll booth collects tax in the form of you guessed it: coconuts. The number of coconuts taken is equal to the number of boxes. For example if you are carrying 50 boxes of coconut you have to pay 50 coconuts at each barrier.
If you took 10 boxes filled with coconuts from garden, tell me how many coconuts would you have remaining after crossing all ten toll booths?
Hint:
Spiriting Faultless Pitch
Without a partner, I sit here mutely. My grace and beauty for you to reckon. Bright head above a regal neck, soft curves. And promise of my rich voice do beckon. Im inevitably hollow, the fretful type, but with practice, I could be your soul mate: If you hold me just right, I'll resonate your spiriting faultless pitch, your song to elevate. What could I be?
Hint:
Nothing More Than Sand
You think you can fly right out of me. Yet when you try, you realize you can't, and that the air in front of you is nothing more than sand. What am I?
Hint:
Add Your Riddle Here
Have some tricky riddles of your own? Leave them below for our users to try and solve.