My 2 paisas

need to find out why this happens

Posted on: October 21, 2008

courtesy ::: math point

Think of any 4 non-zero digits, where not all four digits are the same. Arrange the digits in descending order and ascending order and compute the difference. For instance, if the digits are 3,3,2 and 1,

3321-1233=2088

Repeat the above step by rearranging the result into ascending and descending order and compute the difference.

8820-0288=8532

Reiterating,

8532-2358=6174,

Strangely,

7641-1467=6174

The process terminates when the number reaches 6174. We can use another example,

9750-0579=9171
9711-1179=8532
8532-2358=6174

and Viola! We get the same result again! Can you figure out why this happens?

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Links that I liked to save

Blog Stats

  • 44,051 hits
%d bloggers like this: