How can you make number one disappear by adding something to it?

Can you find a five letter word that is left with only two letters if one is removed?

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

1 + 9 + 8 = ?
considering, 28 + 8 + 92 = 10

A girl rode into a tourist spot out of the city on Thursday. She loved the place and decided to stay for a few days. She stayed for four days and then she left for back home on Thursday.

How can this be possible?

A man stands on one side of a river, his dog on the other. The man calls his dog, who immediately crosses the river without getting wet and without using a bridge or a boat. How did the dog do it?

A Scientist was fifty years old in the year 2000 but he was forty years old in the year 2010. How can this be possible?

PS: It has a logical answer.

There are are five things wrong with this sentence; only geniuses will be able to to spot all of the mitstakes

It is raining today at 11:59 am. What is the probability of sunny weather after 72 hours?

If,
29 - 1 = 30
9 - 1 = 10
14 - 1 = 15

Based on similar logic, Can you prove that the below algebraic equation is true?
11 - 1 = 10 ?