Today’southward Puzzle:

When solving a level 6 puzzle, trying to place the numbers from one to 10 in the pinnacle row besides as the first column tin can exist frustrating. Every single clue appears to have more than one possible answer. How tin can someone gauge right with every single number placement? Is seeing the answer the only way to solve the puzzle?

Here is this calendar week’s level 6 puzzle. Unremarkably, to solve a puzzle, yous start with a row or column with 2 clues.  There are 6 rows or columns with more than one clue, and every i of them is no help!

2014-05 Level 6

You can also detect this and a few other puzzles in an excel file here. If you have a spreadsheet program on your figurer, you can access it. If you enable editing in excel, you lot can blazon your answers direct onto the puzzle, and you can also easily print the puzzles.

A Peek at the Possible Factors for Each of Last Calendar week’s Clues:

“Pay no attention to the that human being behind the curtain!” is a famous line from
The Wizard of Oz.  Everyone in Oz thought the Sorcerer was powerful enough to solve any trouble. When Dorthy and her friends looked behind the curtain they discovered that he was really an ordinary man who was able to detect an reward in what other people didn’t know. It turns out that other people actually had the abilities they thought only the Magician had. Today we will take a peek backside the curtain of a level 6 puzzle and detect that it really isn’t as intimidating as nosotros might imagine and that you have the ability to solve such a puzzle, as well. This is what terminal week’s level 6 puzzle looks like from behind the curtain:
2014-04 Level 6 Hint
Many people try to start with the row that contains the clue 4 ten viii = 32. (When I solve this puzzle, that row is really the ane I End with!) Instead, wait at the row with no clues. If you lot study all the clues in the puzzle, you lot will detect that half-dozen is listed every bit a gene just one time. If at that place were a inkling in the row without any clues, that clue would be a multiple of six. That hint volition keep you going for several clues. It besides eliminates 8 as a possible factor of 72 and ensures that ane 10 eight, not ii x 4, must be used for the clue 8. This ways that ii x 5, not ane ten 10, must be used for the clue ten because both ones will have been used. That means that 2 x 10, not 4 x 5, must exist used for the clue xx because the number ten has to be used as a factor twice. Here is the completed puzzle:
2014-04 Level 6 Answer

Factors of 60:

60 is a composite number. 60 = 1 x threescore, 2 x thirty, 3 x xx, 4 x 15, 5 x 12, or 6 ten ten. Factors of 60: 1, 2, 3, 4, five, vi, 10, 12, 15, xx, 30, 60. Prime number factorization: threescore = 2 x two x three x 5, which can likewise exist written lx = 2² ten 3 x 5.

Sometimes 60 is a inkling in the FIND THE FACTORS puzzles. Fifty-fifty though it has many other factors, we only utilise 6 x 10 for the FIND THE FACTORS 1-10 puzzles and 6 x 10 or 5 x 12 for the Find THE FACTORS 1-12 puzzles.

Sum-Difference Puzzle:

lx has six factor pairs. One of those cistron pairs adds up to 17, and some other one subtracts to 17. If you tin identify those factor pairs, and then you tin can solve this puzzle: