Brain Teasers and Puzzles 

Workings

Hint
Say each number, one digit at a time.

Answer
11131221141113122112.

Reasoning
Each term describes the previous term.

For example, 42 = one four, one two = 1412.

And, 1412 = one one, one four, one one, one two = 11141112.

Workings

Hint
There are 16 ounces in a pound, and 144 in a gross.

Answer
Seconds in an hour.

Reasoning
There are 16 x 144 = 2,304 ounces in gross pounds.

There are 60 x 60 = 3,600 seconds in an hour.

Workings

Hint
A little algebra might help.

Answer
I have 14 apples, and you have 28 apples.

Reasoning
We can work this out with a little algebra. I have A apples, and you have B apples, then
[1]  5 x (A − 7) = B + 7

[2]        A + 7 = B − 7

From [1] we have:

    5A − 35 = B + 7
[3]      5A = B + 42

From [2] we have:

[4]  A + 14 = B

We can then use [4] in [3] to give:

  5A = (A + 14) + 42
  5A = A + 56
  4A = 56
   A = 14

Which gives B = 28 (by [4]).

Workings

Hints
taper = p… (10 letters) heals = s… (9 letters) brows = b… (7 letters) often = f… (8 letters) farce = c… (8 letters) yowls = s… (6 letters) satin = a… (10 letters) awful = l… (6 letters) iotas = t… (10 letters) quiet = e… (9 letters) foils = f… (7 letters) score = s… (11 letters)

Answers
taper = perpetrate (10 letters) heals = seashells (9 letters) brows = borrows (7 letters) often = footnote (8 letters) farce = carefree (8 letters) yowls = slowly (6 letters) satin = assistants (10 letters) awful = lawful (6 letters) iotas = tattooists (10 letters) quiet = etiquette (9 letters) foils = fossils (7 letters) score = sorceresses (11 letters)