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I bet you came here to figure out how Regifting Robin can always figure out what gift you have picked, and how it changes every time. Really, this puzzle is a math game with a little misdirection. You start off by picking a 2 digit number. It doesn't matter which number you pick. The second step is to subtract the 2 digits of the number from the original number. The trick to this is that the result of this problem will always be divisible by 9. Here are a couple of examples to demonstrate 25 -2 -5 = 18 (2 X9) 26 - 6 -2 = 18 (2 X9) 27 - 7- 2 =18 (2 X9) 99 - 9 -9 = 81 (9X9) 62 -6 -2 = 54 (6X9) You are welcome to try more numbers to verify that this works for all 2 digit numbers, or you can accept it that Regifting Robin wants you to have a number that is a multiple of 9. On the next page, you get a page with a table of gifts on it. You notice that there are all sorts of gifts on the page. The numbers are arranged counting vertically with 11 in each column to make it difficult to catch that all of the multiples of 9 have the same gift. In this case, it's a bread maker. It doesn't matter what the gift is, it just matters that the gift that shows up for 9, 18, 27, etc, will be the same gift that shows up on the final page.
That's all there is to it. Hope you enjoyed figuring out how Regifting Robin works. Here is a link to the Regifting Robing brainteaser gaime: http://www.regiftable.com/RegiftingRobinPopUp.html
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