[CV067] How Many Sweets?

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066 - Five Borrowers

067 - How Many Sweets?

068 - Find the Pentagons

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How Many Sweets? is a puzzle in the European version of Professor Layton and the Curious Village. For the puzzle in the American version of the game, go here.

Puzzle

Three boys are talking about how many sweets they each have.

A: B has the most!
B: If C gave me one sweet, I'd have twice as many as A does.
C: It'd be better if B gave me two sweets. Then we'd all have the same amount!

How many sweets are there in total?

Hints

Solution

Incorrect

Too bad!

Correct

That's right! There are nine sweets in total.

The difference between the number of sweets A and B have is two. If B had one more sweet, he would have twice as many as A. Therefore, A + 3 = 2A, which means A has three sweets. B must then have five, as he has one less than twice what A has. If C had two more sweets he would have the same as A, so he must have one.

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