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Pendant Penchant (Pendant Pursuit in the UK version) is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

One of the three trinkets below is said to be a magic pendant made from three types of beautiful crystals resembling crimson suns, pearl stars, and cerulean tears.

This priceless treasure can be identified by the fact that if the quantity of one type of crystal were doubled, it would equal the combined quantity of the other crystals on the pendant.

Which pendant is the magic one?

UK Version

One of the three trinkets below is said to be a magic pendant made from three types of beautiful crystal resembling crimson suns, pearl stars and cerulean tears.

This priceless treasure can be identified by the fact that if the quantity of one type of crystal were doubled it would equal the combined quantity of the other crystals.

So, which pendant is the magic one?

Hints

Click a Tab to reveal the Hint.

Try to think about how many crystals are on each pendant. You won't get far if you don't find this out first.

Which type of crystal should you double?

Well, adding any number to itself always makes an even number.

even + even = even
odd + odd = even

US Version

Keeping this in mind should make things a lot easier.

UK Version

Bearing this in mind should make things a lot easier.

US Version

The type of crystal you should double is the crimson suns. Now you just need to do some simple math.

UK Version

The type of crystal you should double is the crimson suns. Now you just need to do some simple maths.

If you still can't find it, you must be having trouble with your sums!

US Version

Find the pendant made up of six crimson suns, seven pearl stars, and five cerulean tears.

UK Version

Find the pendant made up of six crimson suns, seven pearl stars and five cerulean tears.

Solution

Incorrect

Maybe you focused too much on the beauty of the wrong pendant.

Correct

Dazzling!

US Version

Pendant C is right.

What magic could possibly be held within this pretty pendant?

UK Version

Pendant C is correct.

What magic could possibly be held within this pretty pendant?

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