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107 - Chicken Race108 - Dogs and Cats109 - Three Blocks

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.

US Version

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

UK Version

Since we're dealing with equations here, there's no doubt that the dogs and cats have something to do with numbers.

US Version

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?

UK Version

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

US Version

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

UK Version

Looking at the answers to the equations, you can see that a dog stands for an odd number and a cat stands for an even number.

US Version

Dog 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?

UK Version

So, dog means odd and cat means even. If you have a three-digit number made up of three odd numbers, what's the smallest value you can have for each digit?


Solution

Incorrect

Too bad!

US Version

Woof, woof! Meow...

UK Version

Try and work out what those cats and dogs represent.

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
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