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
Strawberry Resemblance
Hint:
Hot Air Balloon Over The Sahara
One sunny afternoon, three men go for a ride on a hot air balloon over the Sahara desert. An hour into the trip, the balloon begins to lose altitude. A month later, someone found one of the ballooners laying on the desert sand dead, naked, and holding half a toothpick. What happened to him?
Hint:
As the balloon lost altitude, the men took of their clothes and threw them overboard to decrease the weight of the balloon. The balloon continued to drop so the men drew straws to see who would be forced to jump. The dead man in the desert drew the shortest one (the half toothpick). Did you answer this riddle correctly?
YES NO
YES NO
Leave Me Alone And I Will Die
I have no ears, but more than one eye,
Cut me in half, I wont cry,
Leave me alone and I will die.
What am I?
Cut me in half, I wont cry,
Leave me alone and I will die.
What am I?
Hint:
A potato. The roots growing out of a potato are called eyes, when you cut a potato in half it doesnt produce any moisture and if you leave a poor potato to its own devices, it will die. Did you answer this riddle correctly?
YES NO
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:
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
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
April May June Riddle
Billy's mom had 4 children. The 1st one was April, the 2nd was May, and the 3rd was June. What was the 4th child named?
Hint:
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
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