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Numbers and their inversions (Posted on 2024-05-23) |
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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.
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Submitted by Ady TZIDON
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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There are 14 valid answers i.e. smallest number on LHS.
sss majority of solvers like Charlie,,Math Man and others |
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