Jim and Wanda both have some apples. If Jim gives Wanda an apple, they will both have the same number of apples. However, if Wanda gives Jim an apple, Jim will have twice as many as Wanda. How many apples do Jim and Wanda each have?
Water. As ice I’m hard and cold, as water vapor I’m hard to hold and I’m always present in the air as humidity (aka water vapor). If the earth ever runs out of water, we’re toast.
The phrase, “This too shall pass.” According to Wikipedia, the well-known phrase is often attached to a fable of a great king who is humbled by these words, and to someone who is experiencing something wonderful, it can be saddening. But to one who is in the pits of despair, it is a phrase that brings relief and hope.
In other words, if a happy person is told, “This too shall pass” it will make them sad. But to a person on hard times, hearing, “This too shall pass” will cheer them up.
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.
This one took a while to figure out and there are numerous valid ways of finding the answer.
Here is the solution I came up with
I created the following table from the riddle:
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
Prince
4
3
8
6
16
12
24
18
32
24
40
30
48
36
56
42
64
48
72
54
80
60
To see other solutions check out the comments from when I posted this on my blog.
A shark. Sharks experience tonic immobility, also known as apparent death, where they appear to have died. Blood does not easily flow through their bodies, forcing sharks to swim continuously to circulate their blood. Lastly, sharks have pet fish called Remora (sometimes called suckerfish). They feed on parasites on the sharks and leftovers, and they use the shark as transport and protection.
Any 5-letter word with the word ‘one’ somewhere in it. Examples include shone, stone, alone, money, loner, phone or ornery. Note it doesn’t say there is only one letter left, but only ‘one’ left. Tricky tricky.