The Age Puzzle

I am four times as old as my daughter. In 20 years, I shall be twice as old as her. How old are we now?

The daughter is 10 years old, and the parent is 40 years old.

Let the daughter’s age be x, and the parent’s age be 4x.
In 20 years:

The parent will be twice as old as the daughter:
4x + 20 = 2(x + 20)

Simplify:
4x + 20 = 2x + 40
4x – 2x = 40 – 20
2x = 20
x = 10

So, the daughter is 10 years old, and the parent is 4 × 10 = 40 years old.

The Time-Twist Puzzle

Two girls have the same parents and were born at the same hour on the same day of the same month, but they are not twins. How can this be possible?

They were born in different years.

Where is the only place where today comes before yesterday?
What am I?

The dictionary.

What word is pronounced the same if you take away four of its five letters?
What am I?

Queue

I am given, taken, passed, and shared. You can’t hold me, but I can make you feel powerful. What am I?

Knowledge.

I connect two people but touch only one. What am I?

A wedding ring.

I start with an “e” and end with an “e.” I contain only one letter. What am I?

An envelope.

I have hands but cannot touch. I have a face but do not see. What am I?

A clock.

I’m light as a feather, yet the strongest person can’t hold me for five minutes.
What am I?

Your breath.

I can be long, or I can be short.
I can be grown, and I can be bought.
I can be painted, or left bare.
I can be round, or square.
What am I?

A nail.