I have seven letters and am something you eat. My only anagram can help your pain. If you remove my first 2 letters I wear things down. Removing my first 3 letters is an adjective and removing my first 4 letters leaves a measure of time.
Sausage. You eat sausage, assuage is the only single-word anagram and provides relief from pain. Usage wears things down, sage is an adjective and age is a measure of time.
Two legs sat upon three legs with one leg in his lap.
In comes four legs, grabs one leg, and runs off with him.
Up jumps two legs, grabs up three legs, throws it after four legs,
and makes him bring back one leg.
The letters “kst” are in the word, “in” is at the beginning, with “and” at the end. I know, it’s awkwardly worded but otherwise it wouldn’t be a 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.
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.
What must be in the oven yet can not be baked?
Grows in the heat yet shuns the light of day?
What sinks in water but rises with air?
Looks like skin but is fine as hair?