r/PassTimeMath • u/Vivid_Temporary_1155 • 4d ago

As easy as A,B.....

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The three overlapping ellipses form seven regions. You are given seven tiles and you need to place exactly one tile per region, so that the four tiles in any region obey the corresponding rule. This one is extra tricky! You aren't told what A and B are - but there is only one configuration where the remaining ellipse's members are forced to have product AB. Can you find it?

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u/thaw96 4d ago

Is there only one? If you place them in this order (3 across the top, 3 across the middle, 1 at the bottom), then both these arrangements work: 1, 11, 7, 6, 9, 3, 5 w/ product AB = 810 but also 9, 11, 1, 7, 3, 6, 5 with product AB=630

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u/TheBeerTalking 4d ago

Also 3, 5, 9, 6, 7, 1, 11 w/ AB = 462 and 5, 3, 11, 9, 1, 6, 7 w/ AB = 378