perplexus.info :: Numbers : 2x4 = 4x2

2x4 = 4x2 (Posted on 2023-10-04)

+--+--+--+
|2 | 6| 4|
+--+--+--+
|2 | 0| 0|
+--+--+--+

The 2x3 grid given above has an interesting property: If you read horizontally, you get 264 and 200, where 264×200 = 52800. If you read vertically, you get 22, 60 and 40, where 22×60×40 = 52800.

So the horizontal product is the same as the vertical product. Find a 2×4 grid with the same property using 8 different digits.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required grid is: +--+--+---+---+ | 2| 7| 9 | 3 | +--+---+---+--+ | 1| 6| 8 | 0 | +--+---+---+--+ The vertical numbers are: 21,76,98, and 30- and: 21*76*98*30 = 4692240 The horizontal numbers are: 2793, and 1680- and: 2793*1680 = 4692240 Since, the two products are equal, this must be the desired grid.
For an explanation, refer to the solution submitted by:
Charlie in this location.
Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer and visual selection	Charlie	2023-10-04 09:14:50
Computer solution	Larry	2023-10-04 08:17:05

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