perplexus.info :: Numbers : A 6-digit answer

A 6-digit answer (Posted on 2013-11-24)

Given: A and B are 3-digit numbers, such that
A*B=C
and C is a permutation of their digits.

Find all possible solutions.

No Solution Yet Submitted by Ady TZIDON

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Casting out 9s

Comment 2 of 2 |

Mod 9, we must have A*B = A + B

The only mod 9 values that work are

A B

-- --

0 0

2 2

3 6

6 3

5 8

8 5

This cuts the number of possibilities down by almost 93%, but this still seems to be a job for a computer

Edited on November 24, 2013, 4:10 pm

Posted by Steve Herman on 2013-11-24 13:37:50

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