perplexus.info :: Numbers : Stupid number trick

Stupid number trick (Posted on 2005-12-01)

Take any three different digits.

1. Create every possible two-digit combination.
2. Find their sum.
3. Sum the original three digits.
4. Divide your answer from part 2 by your answer to part 3.

What number do you always get, and why?

Submitted by Jer

Rating: 2.3333 (6 votes)

Solution: (Hide)

22
Call the original digits a, b, and c.
10a+b
+ 10b+a
+ 10a+c
+ 10c+a
+ 10b+c
+ 10c+b
= 22a+22b+22c = 22(a+b+c)

The digits, of course sum to a+b+c so dividing this gives 22.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2022-01-18 02:41:58
Answer	K Sengupta	2008-03-19 09:58:21
Solution	Bruno	2005-12-04 12:08:55
solution without looking at comments	The riddler	2005-12-03 23:41:22
What I am thinking	Mindy Rodriguez	2005-12-02 23:36:04
What I am thinking	Waldo Pepper	2005-12-02 18:11:48
Second Thoughts (Spoiler)	Vernon Lewis	2005-12-01 11:34:02
Solution	Walter	2005-12-01 09:02:02
First Thoughts (Spoiler)	Vernon Lewis	2005-12-01 07:42:11

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