Pin Code Puzzle

[muttclugg]

Just recieved this in an email. Its a nice puzzle and theres a few ways to work it out but its certainly worth the 5 minutes.

Note: Please don't post the answers

"A man wanted to get into his work building, but he had forgotten his pin-code.
However, he did remember five clues.

These are what those clues were:
§ The fifth number plus the third number equals 14.
§ The fourth number is one more than the second number.
§ The first number is one less than twice the second number.
§ The second number plus the third number equals 10.
§ The sum of all five numbers is 30.

What were the five numbers?

 

[MrMatt]

 

[yermum]

Surely as per every BBC program ever shown, that should be PIN number code - get it right!!!!!!

 

[muttclugg]

Surely as per every BBC program ever shown, that should be PIN number code - get it right!!!!!!

Sowwy

 

[MAPeX]

*
*
*
*
*

Sorry Ive edited now

 

[Abraham]

snip

yep, i didnt post because he said not to though

 

[GarethDW]

Surely as per every BBC program ever shown, that should be PIN number code - get it right!!!!!!

Heh, RAS Syndrome PIN Number, ATM Machine, etc... they drive me batty.

 

[Ste99]

Got that too. Saw that e was b + 4 and went from there.

 

[OSB]

Its not that hard! You just have a series of equations to solve, and the correct answer has been posted

 

[Danger Phoenix]

Got that too. Saw that e was b + 4 and went from there.

Yep, that is the same way I did it

 

[NeoNemesis]

I wrote down all of the equations but then just dived into some trial and error using 'e' as the starting point.

Not the sexiest of methods but I got it on my second iteration though!

 

[Monkey Puzzle]

Got bored after getting more equations after adding and subtracting equations from each other and got it from just putting in a few values...

 

[The Pat]

Wouldn't it be quicker to:

§ The fifth number plus the third number equals 14.

Using that, you limit it to only 5 possible combinations. Use the rest of the rules to fill in the rest of it and check the total.

 

[Marky]

Surely as per every BBC program ever shown, that should be PIN number code - get it right!!!!!!

Actually PIN stands for Personal Identification Number... therefore the extra "code" or "number" is unneccessary...

I'll get my coat...

 

[Melm0]

If he can remember all those clues, but not the PIN code... that's one silly man!

 

[Monkey Puzzle]

Wouldn't it be quicker to:



Using that, you limit it to only 5 possible combinations. Use the rest of the rules to fill in the rest of it and check the total.

Or alternately, since

the first number + 1 = the second number x 2,

and they're integers (pin code numbers), the first number must be odd and the second even, again giving 5 possible numbers for the first/second digit.

 

[Monkey Puzzle]

If he can remember all those clues, but not the PIN code... that's one silly man!

Plus, he's told everyone the clues. He's just inviting identity theft.

 

[Dj_Jestar]

Wouldn't it be quicker to:



Using that, you limit it to only 5 possible combinations. Use the rest of the rules to fill in the rest of it and check the total.

That's what I did (before scrolling passed the OP as I just knew there would be spoilers)

Got it on the 3rd try.

 

[Dj_Jestar]

edit: oops.

 

[greengiant]

I ended up with a being a double figure...