UF164 - Calendar Conundrum

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Calendar Conundrum
Puzzle Number 164
Puzzle Name Calendar Conundrum
Picarats Given 60 Picarats
Type Write Answer
Location Layton's Challenges
Previous Puzzle UF163 - Time Times Three
Next Puzzle UF165 - One Big Necklace

This is the one hundred and sixty fourth puzzle you will encounter in Professor Layton and the Unwound Future. This puzzle can be accessed through Professor Layton's Challenges. In order to solve this puzzle, you must determine what the smallest number would be when four numbers are circled to equal 88.


[edit] Hints

Hint One
    Are you trying to reproduce the entire calendar page on a piece of paper? You could find the answer that way, but there might be an easier method...

Hint Two
    This is a calendar page, so there is a specific order to the way the numbers are arranged. If you can find a pattern between the numbers next to each other and above and below one another, you might discover a very unique way to solve this puzzle.

Hint Three
    On a calendar, numbers to the left and right of each other differ by one.

    Also, numbers above and below one another differ by seven.

    Using this pattern, there's a relatively simple calculation you can use to solve this puzzle.

Super Hint
    The lower-right of the four numbers in a square that you're looking for is 26.

[edit] Messages

[edit] When Failed

Too bad!

Don't go too crazy trying to add up every possible combination of four numbers that equals 88. Instead, try to be efficient in your thought process.

[edit] When Completed

Ding ding!

It's 18! If you look closely at a calendar, you'll see some numerical patterns. Numbers to the left or right of each other differ by one. Numbers above or below one another differ by seven. In a block of four numbers, the bottom row total and top row total will have a difference of 14 between them. So, if the sum of four numbers in a square is 88, the upper two must equal 44 - 7, 37. And those two must differ by one, so they're 19 and the answer, 18!

[edit] Solution


The smallest number will be 18.

[edit] Progress

5660 Picarats and 300 Hint Coins.

Last edited by Squiggle today at 04:09
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