perplexus.info :: Numbers : Permuted digit division

Permuted digit division (Posted on 2025-01-20)

Find the digits a, b, and c of the two six digit numbers abcabc and ababab, given that

abcabc    55
------ =  --
ababab    54

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

brute force

| Comment 1 of 3

clearvars

idx=combinator(10,3,'p');

digs='0123456789';

abcs=digs(idx);

for i=1:length(abcs)

abc=str2double(abcs(i,:));

abcabc=1001*abc;

if abc>99

ab=str2double(abcs(i,1:2));

ababab=10101*ab;

if 54*abcabc==55*ababab

disp(abc)

end

finds

abc = 185

Posted by Charlie on 2025-01-20 09:30:00

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info