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 Gardners Riddle
Gretchen and Henry were discussing their new neighbors, the Gardners. Gretchen mentioned that she met two of the daughters, and they each had blond hair.
"I have met all of the sisters," replied Henry, "and the probability that both of the girls you met would have had blond hair, assuming you were equally likely to meet any of the sisters, is exactly 50%. Do you know how many children there are?"
After thinking for a minute, Gretchen asks if the family is abnormally large. When Henry replies that it is not, Gretchen tells him how many girls are in the family. What number did she say?
"I have met all of the sisters," replied Henry, "and the probability that both of the girls you met would have had blond hair, assuming you were equally likely to meet any of the sisters, is exactly 50%. Do you know how many children there are?"
After thinking for a minute, Gretchen asks if the family is abnormally large. When Henry replies that it is not, Gretchen tells him how many girls are in the family. What number did she say?
Hint:
Gretchen said that there were 4 girls in the family, three of whom were blond.
This would make the probability that she saw two blonds (3/4) * (2/3), which equals 1/2.
Other numbers would work, but the next pair would lead to a rather large family. Did you answer this riddle correctly?
YES NO
This would make the probability that she saw two blonds (3/4) * (2/3), which equals 1/2.
Other numbers would work, but the next pair would lead to a rather large family. Did you answer this riddle correctly?
YES NO
David Is 6 Years Old Riddle
Hint:
David: 6
Lauren: 3
David is 3 years older than Lauren.
So when David is 100 Lauren is 97.
Answer: 97 Did you answer this riddle correctly?
YES NO
Lauren: 3
David is 3 years older than Lauren.
So when David is 100 Lauren is 97.
Answer: 97 Did you answer this riddle correctly?
YES NO
Lily Pad Riddle
In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?
Hint:
The patch doubles in size every day and so on the 47th day the patch will be half the size it is on the 48th day Did you answer this riddle correctly?
YES NO
YES NO
In The Jar Riddle
A jar is put on the edge of the table in such a way that half of it is left hanging. What is in the jar?
Hint:
Turn Me On My Side And I Am Everything Riddle
Hint:
The number 8. On its side, the number 8 looks like an infinity symbol. Cut in half, the number 8 becomes two zeros. Did you answer this riddle correctly?
YES NO
YES NO
A Boy Has As Many Sisters As Brothers Riddle
A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many brothers and sisters are there in the family?
Hint:
Four brothers and three sisters.
Every boy will have 3 brothers and 3 sisters. Every girl will have 4 brothers and 2 (half of the number of brothers) sisters. Did you answer this riddle correctly?
YES NO
Every boy will have 3 brothers and 3 sisters. Every girl will have 4 brothers and 2 (half of the number of brothers) sisters. Did you answer this riddle correctly?
YES NO
17 Cows Riddle
An old farmer died and left 17 cows to his three sons. In his will, the farmer stated that his oldest son should get 1/2, his middle son should get 1/3, and his youngest son should get 1/9 of all the cows. The sons, who did not want to end up with half cows, sat for days trying to figure out how many cows each of them should get.
One day, their neighbor came by to see how they were doing after their father's death. The three sons told him their problem. After thinking for a while, the neighbor said: "I'll be right back!" He went away, and when he came back, the three sons could divide the cows according to their father's will, and in such a way that each of them got a whole number of cows.
What was the neighbor's solution?
One day, their neighbor came by to see how they were doing after their father's death. The three sons told him their problem. After thinking for a while, the neighbor said: "I'll be right back!" He went away, and when he came back, the three sons could divide the cows according to their father's will, and in such a way that each of them got a whole number of cows.
What was the neighbor's solution?
Hint:
The neighbour borrowed an extra cow, to make the total number of cows 18. Then the oldest son got 1/2 of 18 is 9 cows, the middle son got 1/3 of 18 is 6 cows, and the youngest son got 1/9 of 18 is 2 cows. Since 9+6+2 = 17, the cows could be divided among the three brothers in such a way that the borrowed cow was left over, and could be returned to its owner. Did you answer this riddle correctly?
YES NO
YES NO
A Book Costs $1 Riddle
Hint:
The book costs $2.
Let the cost be X. We know that:
X = 1 + X/2
Solving for X will give 2. Did you answer this riddle correctly?
YES NO
Let the cost be X. We know that:
X = 1 + X/2
Solving for X will give 2. Did you answer this riddle correctly?
YES NO
A Girl Has Many Brothers And Sisters Riddle
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?
Hint: Be sure to count the sisters and brothers in total and in terms of their own number of siblings.
4 daughters (sisters) and 3 sons (brothers)
A girl has as many brothers as sisters : If one of the daughters count her siblings, she would count - 3 sisters (3 remaining daughters in the family) and her 3 brothers (3 Sons in the family). So, it makes the statement true that the girl has as many brothers as sisters.
Each brother has only half as many brothers as sisters. This means, when one of the sons count his siblings, it would be 2 brothers (remaining 2 sons of the family) and 4 sisters (All 4 daughters in the family). 2 is the half of 4. It agrees to the condition that
each brother has only half as many brothers as sisters.
Therefore the answer is :
The family has 4 daughters (sisters) and 3 sons (brothers). Did you answer this riddle correctly?
YES NO
A girl has as many brothers as sisters : If one of the daughters count her siblings, she would count - 3 sisters (3 remaining daughters in the family) and her 3 brothers (3 Sons in the family). So, it makes the statement true that the girl has as many brothers as sisters.
Each brother has only half as many brothers as sisters. This means, when one of the sons count his siblings, it would be 2 brothers (remaining 2 sons of the family) and 4 sisters (All 4 daughters in the family). 2 is the half of 4. It agrees to the condition that
each brother has only half as many brothers as sisters.
Therefore the answer is :
The family has 4 daughters (sisters) and 3 sons (brothers). Did you answer this riddle correctly?
YES NO
2 Fathers And 2 Sons Riddle
Two fathers and two sons sat down to eat eggs for breakfast. They ate exactly three eggs, each person had an egg. The riddle is for you to explain how?
Hint:
One of the 'fathers' is also a grandfather. Therefore the other father is both a son and a father to the grandson.
In other words, the one father is both a son and a father. Did you answer this riddle correctly?
YES NO
In other words, the one father is both a son and a father. Did you answer this riddle correctly?
YES NO
How Many Children?
Mr. Smith has 4 daughters. Each of his daughters has a brother.
How many children does Mr. Smith have?
How many children does Mr. Smith have?
Hint:
He has 5 children, all of the daughters have the same 1 brother. Did you answer this riddle correctly?
YES NO
YES NO
Twins Riddle
Two girls were born to the same mother, on the same day, at the same time, in the same month and year and yet they're not twins. How can this be?
Hint:
Under The Umbrella Riddle
Four children and their pet dog were walking under a small umbrella. But none of them became wet. How?
Hint:
Not In A Girl's Dress Riddle
Hint:
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