# Twice the Age Puzzle - Solution

## The Puzzle:

## Our Solution:

The puzzle is about 3 instants in time.

Let`s have P for my age in the past, P` for yours, N for my age now, N` for yours, F for my age in the future and F` for yours.

Then we have:

N = 2P`

P = N`

F` + F = 63

F` = N = 2P`

You can represent it in a timeline to make it clearer if you wish.

The trick here is that time runs the same for both me and you, therefore we can write :

F` - N` = F - N

So: 2P` - P = 63 - 2P` - 2P`

So: P = 63 - 6P`

N` - P` = N - P

So: P - P` = 2P` - P

So: 2P = 3P`

The rest is easy. In the end we have N = 28 and N` = 21.

So we are 28 and 21

Let`s have P for my age in the past, P` for yours, N for my age now, N` for yours, F for my age in the future and F` for yours.

Then we have:

N = 2P`

P = N`

F` + F = 63

F` = N = 2P`

You can represent it in a timeline to make it clearer if you wish.

The trick here is that time runs the same for both me and you, therefore we can write :

F` - N` = F - N

So: 2P` - P = 63 - 2P` - 2P`

So: P = 63 - 6P`

N` - P` = N - P

So: P - P` = 2P` - P

So: 2P = 3P`

The rest is easy. In the end we have N = 28 and N` = 21.

So we are 28 and 21

Puzzle Author: Fares Arousse