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Dogs and Cats (Dog, Dog, Cat! in the UK version) is a puzzle in Professor Layton and the Unwound Future.

Puzzle

US Version

0 + 1 = dog
6 +3 = dog
7 + 9 = dog cat
11 + 17 = cat cat

0 + 2 = cat
6 +7 = dog dog
11 + 12 = cat dog

If the above is true, then what is the smallest value for ? that will make the following equation true:

1 + ? = dog dog dog
UK Version

Here are some unusual equations:

0 + 1 = dog
6 +3 = dog
7 + 9 = dog cat
11 + 17 = cat cat

0 + 2 = cat
6 +7 = dog dog
11 + 12 = cat dog

If the above is true, then what is the smallest value for "?" that will make the following equation true?

1 + ? = dog dog dog

Hints




Click a Tab to reveal the Hint.

Since you're dealing with equations here, the dogs and cats undoubtedly have something to do with numbers.

Try adding up the left side of each equation and looking at the results. Are you starting to see what the cats and dogs represent?

A dog stands for an odd number, and a cat stands for an even number...

Dong means an odd number.

Cat means an even number.

If you need a three-digit number made up three odd numbers, what's the smallest value possible for each digit?


Solution

Incorrect

Too bad!

Woof, woof! Meow...

Correct

US Version

Incredible!

The answer is 110.

For each digit to each sum's answer, if the number is odd, it's a dog. If it's even, it's a cat.

Therefore, the smallest number that will result in dog dog dog is 111, which is 1 + 110!

UK Version

Brilliant!

The answer is 110.

A dog represents an odd number, and a cat, an even number. Therefore the smallest possible number that will give you "dog dog dog" is 111, which is 1 plus 110.

UF108S

A big thanks to http://professorlayton3walkthrough.blogspot.com

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