Random Puzzles 

Workings

Hint
The anagrammed word begins with the letter S.

Answers
Spaghetti.
--xic = toxic --ien = alien --nre = genre --ppo = hippo --pil = pupil --loo = igloo --day = today --uip = equip --elf = shelf
Giving the letters TAGHPITES, which is an anagram of SPAGHETTI.

Workings

Hint
What is the difference between each number?

Answer
14.

Add 3 to the previous term.

Workings

Hint
A little bit of 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

Hint
One of the words is gone.

Answers
bo + nd = bond
br + ew = brew
fo + am = foam
go + ne = gone
ho + pe = hope
jo + ke = joke
le + af = leaf
lo + af = loaf
lo + ud = loud
so + re = sore