## FANDOM

2,499 Pages

Letter Calculations is a puzzle in Professor Layton and the Diabolical Box.

## Puzzle

US Version

If you take the problem 11x11=121, and replace the 1s with As and the 2s with Bs, you get AAxAA=ABA.

Using that same replacement idea, you can also generate AAxAA=BBCC. New values may or may not have been assigned to each letter.

Can you figure out what A, B and C equal in the above equation?

UK Version

If you take the problem 11 x 11 = 121 and replace the 1s with As and the 2s with Bs, you get AA x AA = ABA.

A similarly-generated letter equation would be AA x AA = BBCC. Can you work out what A, B and C equal in the above equation? The values of A and B may or may not have changed from the first example.

## Hints

Click a Tab to reveal the Hint.

US Version

Each letter is represented by a single-digit number, so the possibilities for what number represents each letter are fairly limited.

UK Version

Each letter is represented by a single-digit, so the possibilities for each letter represents are fairly limited.

US Version

If you start by subbing in 1 for A and work your way through all the other numerical possibilities for A, you'll find your answer before long. What's more, if you use a calculator, trying out every possibility will take only a minute or two.

But if you can, try to solve it just using your head.

UK Version

If you start by replacing A with 1 and work your way through all the other possible digits for A, you'll find your answer before long. What's more, if you use a calculator, trying out every possibility will take only a minute or two.

But if you can, try to solve it just using your head.

US Version

As detailed in Hint Two, if you substitute every digit for A and work your way up, you'll find the answer in the last half of your search.

UK Version

Try substituting each digit for A and working your way up, as detailed in Hint 2. You'll find the answer in the last half of your search.

## Solution

### Incorrect

US Version

Try walking through your calculations one more time.

UK Version

Try running through your calculations one more time.

### Correct

Sharp thinking!

US Version

88x88=7744

The numbers work out perfectly if you assign A a value of 8, B a value of 7, and C a value of 4.

At first, the possibilities for what goes where may have seemed daunting, but once you realize that only a few numbers can potentially replace A, everything starts coming together.

UK Version

88 x 88 = 7744

The numbers work out perfectly if you assign A a value of 8, B a value of 7 and C a value of 4.

This equation may seem daunting at first, but if you bear in mind that the potential values of A are limited, everything starts coming together

A big thanks to http://professorlayton2walkthrough.blogspot.com

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