Easy Puzzles 

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
Try to rotate them around in your head, but watch out for mirror images.

Answer
B, E, and G.

Workings

Hint
Try working backwards.

Answer
Saturday.

Reasoning
It's best to work backwards:

   "Sunday's tomorrow"

is Monday.

   "the day after Sunday's tomorrow"

is therefore Tuesday.

   "five days before the day after Sunday's tomorrow"

is therefore Thursday.

   "yesterday was five days before the day after Sunday's tomorrow"

yesterday was Thursday, making today Friday. Therefore tomorrow is Saturday.

Workings

Hint
The sequence ends with STUCK.

Answers
flock = a gaggle of geese clock = a device for measuring time click = what you can do with a mouse chick = a baby chicken chock = a device to prevent wheels from moving shock = a surprise shack = a small house stack = a pile of cards stick = a small piece of wood stuck = unable to move