Random Puzzles 

Workings

Hint
The answer is in the words given.

Answer
SLOW.

Reasoning
Take the third letter of the first word
   + the second letter of the second word
      + plus the first letter of the first word
         + plus the fourth letter of the second word.

Double-Checking
3-1- [1234] -2-4
S-F- [FAST] -A-T
O-S- [SLOW] -L-W

Workings

Hint
The number of adults and children doesn't matter.

Answer
3,672.

Reasoning
The actual number of adults and children doesn't actually matter.

If all of the people were adults, then half of them (306) would be given 12 sweets:

  306 x 12 = 3672

If all of the people were children, then three quarters of them (459) would be given 8 sweets:

  459 x  8 = 3672

If there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):

  256 x 12 + 75 x 8 = 3672

We can change the numbers of adults and children, but it doesn't change the answer.

The reason for this lies in the fact that ¹/₂ adults x 12 sweets = ³/₄ children x 8 sweets (both are 6).

Workings

Hint
How many letters does each name have?

Answer
Simon married Teresa: their names have 11 letters when combined.

Workings

Hint
I have fewer than 10 children.

Answer
4.

I have three daughters and one son.