Enderman are normally passive, but they become hostile if a player looks directly at them. The Enderman will stare back until the player looks away, and then attack the player. A bucket of water is the best way to defeat an Enderman.
A bag contains 64 balls of eight different colors. There are eight of each color (including red). What is the smallest number you would have to pick, without looking, to be sure of selecting 3 red balls?
A three-letter word I’m sure you know, I can be on a boat or a sleigh in the snow, I’m pals with the rain and honor a king, But my favorite use is attached to a string.
A bow. It has three letters, the bow of a boat is the front, bows are found on the presents on Santa’s sleigh, rainbows come with the rain, one bows before a king and a bow and arrow requires a string.
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.