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Window Pains (Window Pain in the UK version) is a puzzle in Professor Layton and the Last Specter.

## Puzzle

"I was carefully cleaning up the fragments of this broken window with my three friends.

I picked up the first three pieces. My friends followed in turn, each picking up three more pieces than whoever went before them.

In the end, there were still three fragments on the floor. How many pieces of glass were there to begin with?"

## Hints

Click a Tab to reveal the Hint.

US Version

If you figure out how many pieces each person took, you should be close to the answer. Just make sure you don't forget any pieces.

UK Version

If you work out how many pieces each person took, you should be close to the answer. Just make sure you don't forget any pieces.

You already know how many pieces the first person took. You also know that each person took three pieces more than the person before them.

US Version

Count out how many each person would have taken, and then add all the pieces together.

UK Version

Count out how many each person would have taken and then add all the pieces together.

The first person took three pieces.

US Version

Each person after that took three more than the previous person, so they had three, six, nine, and 12 pieces respectively.

UK Version

Each person after that took three more than the previous person, so they had three, six, nine and twelve pieces respectively.

Don't forget the three pieces left lying on the floor!

Adding all the pieces that were picked up to the pieces on the ground gives:
3 + 6 + 9 + 12 + 3

## Solution

### Incorrect

US Version

Try figuring out exactly how many pieces each person would have taken.

UK Version

Try working out exactly how many pieces each person would have taken.

### Correct

Great!

There were 33 pieces.

US Version

The friends picked up three, six, nine, and twelve glass fragments. You then just had to add the three left on the floor to get the total.

UK Version

The friends picked up three, six, nine and twelve glass fragments. You then just have to add the three left on the floor to get the total.

## Trivia

In the Japanese version, this puzzle appears as Weekly Puzzle 5.

A big thanks to http://professorlayton4walkthrough.blogspot.com