Consider a pair of 3-digit numbers 122 & 213.
Their product is 25986.
Invert both numbers and consider the new product- it is 68952 i.e. inversion of the previous result!

List all such pairs of 3 digit numbers, avoiding trivial solutions.

Are there such pairs of 4 digit numbers?

Either find some or prove there are none.

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Posted by Naveen Kumar on 2022-01-25 02:19:00