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Mirror multiplication (Posted on 2016-07-31) Difficulty: 4 of 5
12*42=24*21
&
203313*657624=426756*313302

are the smallest and the largest samples I provide for
mirror multiplication

Please provide additional pairs.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
lots of them | Comment 4 of 8 |
let the first number be a 1 followed by K zeros and then a 2
the other number is a 4 followed by K zeros and then a 2

these are then
10^k+2 and 4*10^k+2
multiplying them together we get
4*10^(2k)+10^(k+1)+4

now their reverses are simply
2*10^k+1 and 2*10^k+4
multiplying them together also gets
4*10^(2k)+10^(k+1)+4

thus this pair of numbers works for any integer value of k>=0.



  Posted by Daniel on 2016-07-31 20:59:38
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