Why Wine Glass Stem is so long?

Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

Two fathers and two sons decided to go to a shop and buy some sweets upon reaching. Each of them bought 1 kg of sweet. All of them returned home after some time and found out that they had 3kg of sweets with them.

They did not eat the sweets in the way, nor threw or lose anything. Then, how can this be possible?

When I get multiplied by any number, the sum of the figures in the product is always me. What am I?

Spelt forwards I’m what you do every day, spelled backwards I’m something you hate. What am I?

During which month do people sleep the least?

Rebus Puzzle Definition: A rebus is an illusion device that uses pictures to represent words or parts of words.
What does This Rebus Puzzle Identify?

There are forty elephants and they have forty-fore heads. How can this be possible?

If EELS + MARK + BEST + WARY = EASY

What does HELP + BARK + WARD + LEAD equal?

In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?