# Amusing puzzle

**URL:** <https://boards.straightdope.com/t/amusing-puzzle/214383>\
**Category:** Miscellaneous and Personal Stuff I Must Share\
**Created:** [November 20, 2003, 11:06pm UTC](https://boards.straightdope.com/t/amusing-puzzle/214383 "2003-11-20T23:06:01Z")\
**Posts on this page:** 10\
**Page:** 1

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**Author:** ![BarnOwl](https://avatars.discourse-cdn.com/v4/letter/b/e95f7d/32.png) [@BarnOwl](https://boards.straightdope.com/u/BarnOwl)\
**Post date:** [November 20, 2003, 11:06pm UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/1 "2003-11-20T23:06:01Z")

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Can you figure this out?

1. Key into the calculator the first 3 digits of your phone number (not yourarea code).

2. Multiply by 80

3. Add 1

4. Multiply by 250

5. Add last 4 digits of your phone number

6. Add last 4 digits of your phone number again

7. Subtract 250

8. Lastly, divide by 2

The end result will be your phone number.

If you can figure this out, please explain how the arithmetic works

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**Author:** ![Francesca](https://avatars.discourse-cdn.com/v4/letter/f/9fc348/32.png) [@Francesca](https://boards.straightdope.com/u/Francesca)\
**Post date:** [November 20, 2003, 11:07pm UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/2 "2003-11-20T23:07:11Z")

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Note: this only works with US phone numbers.

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**Author:** ![BarnOwl](https://avatars.discourse-cdn.com/v4/letter/b/e95f7d/32.png) [@BarnOwl](https://boards.straightdope.com/u/BarnOwl)\
**Post date:** [November 20, 2003, 11:11pm UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/3 "2003-11-20T23:11:19Z")

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Ooops!

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**Author:** ![Algorithm](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/algorithm/32/12204_2.png) [@Algorithm](https://boards.straightdope.com/u/Algorithm)\
**Post date:** [November 20, 2003, 11:19pm UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/4 "2003-11-20T23:19:52Z")

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x = the first 3 digits of your phone number  
y = the last 4 digits of your phone number

To mathematically construct a 7 digit phone number out of x and y, use the equation 10000x + y. Now, to make sure the puzzle does the same thing:

1. Put x into calculator
2. Multiply by 80 (now we have 80x in calculator)
3. Add 1 (80x + 1)
4. Multiply by 250 (20000x + 250)
5. Add y (20000x + 250 + y)
6. Add y again (20000x + 250 + 2y)
7. Subtract 250 (20000x + 2y)
8. Divide by 2 (10000x + y)  
Success!

Does this answer your question?

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**Author:** ![BarnOwl](https://avatars.discourse-cdn.com/v4/letter/b/e95f7d/32.png) [@BarnOwl](https://boards.straightdope.com/u/BarnOwl)\
**Post date:** [November 21, 2003, 12:09am UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/5 "2003-11-21T00:09:57Z")

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Yes. Thank you, Algorithm.

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**Author:** ![Teelo](https://avatars.discourse-cdn.com/v4/letter/t/8491ac/32.png) [@Teelo](https://boards.straightdope.com/u/Teelo)\
**Post date:** [November 21, 2003, 1:44am UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/6 "2003-11-21T01:44:26Z")

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My Canadian phone number worked!

Thats pretty cool though.

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**Author:** ![Revtim](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/revtim/32/1042_2.png) [@Revtim](https://boards.straightdope.com/u/Revtim)\
**Post date:** [November 21, 2003, 2:12am UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/7 "2003-11-21T02:12:23Z")

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This has to be best correlation of username and post ever seen on this board.

> [@](#):
>
> \*Originally posted by Algorithm \*  
> \*\*x = the first 3 digits of your phone number  
> y = the last 4 digits of your phone number
> 
> To mathematically construct a 7 digit phone number out of x and y, use the equation 10000x + y. Now, to make sure the puzzle does the same thing:
> 
> 1. Put x into calculator
> 2. Multiply by 80 (now we have 80x in calculator)
> 3. Add 1 (80x + 1)
> 4. Multiply by 250 (20000x + 250)
> 5. Add y (20000x + 250 + y)
> 6. Add y again (20000x + 250 + 2y)
> 7. Subtract 250 (20000x + 2y)
> 8. Divide by 2 (10000x + y)  
> Success!
> 
> Does this answer your question? \*\*

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**Author:** ![lilbtagna](https://avatars.discourse-cdn.com/v4/letter/l/4491bb/32.png) [@lilbtagna](https://boards.straightdope.com/u/lilbtagna)\
**Post date:** [November 21, 2003, 2:25am UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/8 "2003-11-21T02:25:00Z")

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**Revtim** , that’s exactly what I thought as well.

This is really neat, BTW. I’ll have to show my friends.

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**Author:** ![Chimpy](https://avatars.discourse-cdn.com/v4/letter/c/a9adbd/32.png) [@Chimpy](https://boards.straightdope.com/u/Chimpy)\
**Post date:** [November 21, 2003, 11:52am UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/9 "2003-11-21T11:52:50Z")

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it worked on a UK phone number

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**Author:** ![Shade](https://avatars.discourse-cdn.com/v4/letter/s/2bfe46/32.png) [@Shade](https://boards.straightdope.com/u/Shade)\
**Post date:** [November 21, 2003, 12:00pm UTC](https://boards.straightdope.com/t/amusing-puzzle/214383/10 "2003-11-21T12:00:56Z")

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Well, it works on any seven digit phone number (uh, though starting with 0 could be a problem.) If you rephrased “the first three digits” as “all but the last four digits” it would work for any phone number over four digits.
