Answer:
If you have it, you want to share it. If you share it, you don't have it.
Add a T and I shoot through the sky. Then add an S and I multiply. What word is it?
Has no feet, but travels far. Is literate, but not a scholar. Has no mouth, yet clearly speaks.
It holds no blessings in disguise. Its rhymes are aimed at your demise, it's cast only to ruin, Whatever you are doin'.
What has a mouth but can't chew?
I start with T end with T and within me is T.
Difficult
Animal
Easy
Food
Funny
Kids
Logic
What am I?