Random Puzzles 

Workings

Hint
Who was going to St Ives?

Answer
One.

Reasoning
Only I was going to St Ives.

This is a very old puzzle, and appeared in a manuscript dated around 1730. It is thought to refer to a town in Cornwall, UK.

If we were to count everyone and everything, including all of the kits, cats, sacks and wives, we would have:
Me    = 1
Man   = 1
Wifes = 7
Sacks = 7 x 7 = 49
Cats  = 7 x 7 x 7 = 343
Kits  = 7 x 7 x 7 x 7 = 2401

Total = 1 + 1 + 7 + 49 + 343 + 2401 = 2,802.

Workings

Hint
One of the colours is BLUE.

Answer
Blue, yellow, green, and violet.

Workings

Hint
If we look at all of the clues, each person appears exactly twice.

Answer
Alex had been teaching for 21 years.
Billie had been teaching for 15 years.
Charlie had been teaching for 7 years.

Reasoning
If we look at all of the clues, each person appears exactly twice.

So the total of the three clues gives us two lots of Alex + Billie + Charlie = 36 + 22 + 28 = 86.

So, Alex + Billie + Charlie = 43 years.

In each clue we are given two of the people, so we can use this to find the missing person:

   Charlie and Billie had been teaching for a total of 22 years, which means that Alex must be: 43 − 22 = 21 years.

   Charlie and Alex had been teaching for a total of 28 years, which means that Billie must be: 43 − 28 = 15 years.

   Alex and Billie had been teaching for a total of 36 years, which means that Charlie must be: 43 − 36 = 7 years.

Reasoning With Algebra
Let Alex = A, Billie = B and Charlie = C, then:

[1]   A + B = 36
[2]   C + B = 22
[3]   C + A = 28

If we use [3] − [2] we have:

[4]   A − B = 6

If we use [1] + [4] we have:

   2A = 42
    A = 21

By [1] B = 15. By [3] C = 7.

Workings

Hint
The first two words begin with A and S.

Answer
Actions speak louder than words.