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A Difference of 39 is a puzzle in Professor Layton and the Unwound Future.

Puzzle

US Version

Touching the squares on the scoreboard below will turn them from white to green.

Both sides currently display 58, but Luke and Professor Layton are planning to each touch one square and create two different numbers.

The difference between the two numbers will be 39. What are those numbers?

UK Version

Here are two scoreboards, made up of panels. Touching a panel reverses its colour.

Both scoreboards currently display 58, but by touching just one panel each, Layton and Luke can create two new numbers. The difference between these numbers is 39.

Try to work out which panels they touch and which new numbers they make. Enter your answer as two-digit numbers.

Hints




Click a Tab to reveal the Hint.

US Version

What squares can you touch to make a new number out of the old one?

Think about both numbers--the five and the eight.

UK Version

Making use the original numbers, which panels can you reverse in order to create new numbers?

Think about what you can make with a 5 or 8 individually.

US Version

You can make a six and a nine out of a five by changing one square.

UK Version

A 5 can be changed into either a 6 or a 9.

US Version

You can make a zero, a six, and a nine out of an eight by changing one square.

Now it's just a matter of finding the difference between the two numbers.

UK Version

An 8 can be made into a 0, a 6 or a 9. All you have to do now is subtract the possible numbers on one scoreboard from the possible numbers on the other.

US Version

One of the correct numbers is 50, 56, or 59. Now try doing the math.

UK Version

One of the scoreboards should display either 50, 56 or 59.

All you've got to do now is some simple calculation.


Solution

Incorrect

US Version

Too bad!

What numbers can you make by touching one white square on each side?

UK Version

Bad luck.

What numbers can you make by touching the panels?

Correct

US Version

Correct!

One side will be 98 and the other 59.

UK Version

Well done!

One scoreboard should display 98 and the other one should display 59.

UF151F

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

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