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Numbers and their inversions (Posted on 2024-05-23) Difficulty: 3 of 5
We will be dealing with two-digit numbers non divisible by 11.
For each such number A there will exist another A’, a number created by inverting the digits of A so 45’=54, 87’=78.
Take for example 2 numbers 36 & 84: their product is the same as the product of those numbers inverted i.e. 63*48.

Find all the couples possessing such feature i.e. AB=(A')*(B').
Rem: to preserve conformity present the smallest number on the LHS of the equation - like 12*42=21*24.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnswerMath Man2024-05-27 19:06:31
Puzzle ThoughtsK Sengupta2024-05-24 02:41:10
Computer solutionLarry2024-05-24 00:36:55
Some Thoughtssome thoughtsbroll2024-05-23 23:30:12
Solutioncomputer solutionCharlie2024-05-23 23:18:04
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