A nine-letter word with but one vowel, After I’m used you may need a towel, Tests can be used to learn what I am, Once I am known you can hit a grand slam.
Strengths. It has 9 letters with only one vowel, when you use your strengths the exertion can cause you to sweat, requiring a towel, tests can identify ones strengths and once you know what they are, you can hit a metaphorical grand slam by employing them in an area of your choosing.
The answer to each clue is a single, 100-point word, or a word whose letters add up to 100, with a = 1, b = 2. I wrote this word value calculator so you can easily check your guesses.
i. Peanut butter tastes like this. ii. The hat a Dad wears. iii. To fire a chef, iv. A smart timepiece. v. Figured it out again. vi. Where a kid can sleep. vii. The magical fruit leaves you doing this. viii. Betrayed for this much silver. ix. A baked good that is height challenged. x. A sticky way to neaten your hair.
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.