There is one word that stands the test of time and holds fast to the center of everything. Though everyone will try at least once in their life to move around this word, but in fact, unknowingly, they use it every moment of the day. Young or old, awake or in sleep, human or animal, this word stands fast. It belongs to everyone, to all living things, but no one can master it. The word is?
There are four pairs of words below. Rearrange one of the words in the pair to form a word that rhymes with the other word. For example, if you had the following pair of words:
FRINGE LINGER
You would rearrange FRINGE into FINGER, which rhymes with LINGER. You can rearrange the letters of either word.
1. MOPIER PERIOD
2. GHOULS SCRUFF
3. JAILED LEVIED
4. WEIGHT ARTIST
I can be quick and then I’m deadly,
I am a rock, shell and bone medley.
If I was made into a man, I’d make people dream,
I gather in millions by ocean, sea and stream.
Sand. Quicksand is deadly (at least in movies). Sand is made up of rocks, shells and bones. The sandman visits you when you dream (again, according to legend, I’ve never seen him…) and there is plenty of sand in the oceans, seas and streams.
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.
I go up, but at the same time go down,
Up toward the sky and down toward the ground,
I’m present tense and past tense too,
Come for a ride, just me and you.