[UF040] Missing Tiles

040 - Missing Tiles

Missing Tiles is a puzzle in Professor Layton and the Unwound Future. The puzzle must be solved in order to progress the story.

Puzzle

US Version

To open the door, place four numbered tiles on the blank spaces so that all the conditions set forth by the equations are fulfilled.

UK Version

To open the door, place four numbered tiles in the blank spaces so that all the conditions set forth by the equations are fulfilled.

Placing a numbered tile into a blank space enters it into the equations in the positions above and below that space.

Hints

Click a Tab to reveal the Hint.

US Version

It's difficult to choose only four numbers. Just try plugging in different numbers.

UK Version

It's difficult to choose the correct numbers, even though there are only four of them. Just keep trying different possibilities.

US Version

Think of two sets of two numbers that produce the same value when the numbers in one set are multiplied and the numbers in the other set are added together, and vice-versa.

UK Version

Think of two pairs of two numbers that produce the same value when the numbers in one pair are multiplied and the numbers in the other pair are added together, and vice versa.

The two numbers on each side of the equation should produce the same result when they are multiplied as when they are added together, so large numbers won't work.

US Version

When the solution to the top equation is six, the solution to the lower equation is five.

UK Version

When the solution to the top equation is six, the solution to the bottom equation is five.

Solution

Incorrect

Too bad!

It's a combination of simple numbers. Just keep trying.

Correct

Brilliant!

US Version

Here is one possible solution. The right half and left half of the equation are interchangeable. Since they involve addition and multiplication, the equation is viable even if the two numbers on the left side swap positions, or it the two numbers on the right side swap positions.

UK Version

Here is one possible solution. The right and left halves of each equation are interchangeable. Additionally, since each half of the equations involves the addition or multiplication of a pair of numbers, the order of numbers in each pair can be switched without affecting the overall result.

v · d · ePuzzles in Professor Layton and the Unwound Future

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