perplexus.info :: Numbers : Mirror multiplication

Mirror multiplication (Posted on 2016-07-31)

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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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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