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## The Secret Code

Math brain teasers require computations to solve.

 Puzzle ID: #16166 Fun: (2.8) Difficulty: (1.86) Category: Math Submitted By: jacintan

A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:

The fifth number plus the third number equals fourteen.

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 ten.

The sum of all five numbers is 30.

What were the five numbers and in what order?

7, 4, 6, 5, 8
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 (user deleted) Jan 20, 2004 But he Could remember all of that? Weird guy... Nice teaser. Mamamunchies Jan 20, 2004 So, like what's the best way to figure this out? Or do I just try numbers until it works, which is what I did. I'm not strong on math... heyevpos Jan 20, 2004 Let O = digit 1, T = dig 2, R = dig 3, F = dig 4, V = dig 5. O must be odd since 2*T-0 = 1 (clue 3) so, 0=1,3,5,7,9 which means T=1,2,3,4,5 (clue 3 again) we know R+T = 10(clue 4) then R=9,8,7,6,5 we know F-T = 1 (clue 2) then F=2,3,4,5,6 we know V+R = 14 (clue 1) then V=5,6,7,8,9 all of these possible values are listed respectively, so our possible codes are O T R F V 1 1 9 2 5 = 18 3 2 8 3 6 = 21 5 3 7 4 7 = 26 7 4 6 5 8 = 30 (clue 5) 9 5 5 6 9 = 34 7 4 6 5 8 is the solution bbngk Jan 20, 2004 Difficult AXTON Jan 21, 2004 Why is this so Difficult. First I started by placing a nine in the fifth place. This resulting in a total sum of 34. So replaced the 9 with an 8 and got the correct answer. GREAT TEASER BUT IS NOT AS HARD AS IT IS MADE OUT TO BE!!! jo47 Jan 25, 2004 I don't know if you purposefully left this out, but it would be easier if you said that no 2 numbers were the same. i enjoyed solving it anyway gj. jimbo Feb 01, 2004 Unnecessary information Jo. Taking the first clue, let 3rd number be x so 5th is 14-x From 4th clue 2nd is 10-x. This means the 4th number is 11-x. From the 3rd clue the first number is 19-2x. Adding them 54-4x=30. solving gives x = 6. Work backwards. Nice puzzle! Nite_Owl Feb 15, 2004 Nice puzzle. Not too strong in difficulty but pretty good in fun. Candymn007 Feb 16, 2004 Fun Teaser, not that hard. Just start with two digits equaling 14 and work your way back. tenzin_gyatsu Feb 19, 2004 I missed the boat on this one... I set N1+N2...+N5=30 and then put every number in terms of N2... this looked like (2N2-1)+N2+(10-N2)+(N2+1)+[14-(10-N2)]=30. This puts N2=8 but then after substituting into the other equations I got a code of 15,8,2,9,12 which equals 46. I know this is way off but why can't I solve algebraically ?? Thanks (user deleted) Mar 05, 2004 I used the same method except that I got N2or B=4 and it all worked out. (2B-1)+B+(10-B)+(B+1)+(4+B)=30 Jillian kittykat98 Oct 30, 2004 it looked hard but turned out 2 b easy even though i didn't get it Kollonel_Rabbit Jan 11, 2005 TOO EASY jacintan Feb 21, 2005 If u have trouble then talk 2 my maths teacher who goes onn and onn and onnnnnnnnn.....!!!!!!! (user deleted) May 17, 2007 x y z t e 9 3 7 4 7 (user deleted) May 17, 2007 x y z t e e+z=14 t=y+1 y+z=10 x+y+z+t+e=30 x+y+10-y+y+1+4+y=30 x+2y= 15 x must be 2 e=4+y e must be javaguru Jan 03, 2009 I've got to agree with the too easy, but I guess they don't all need to be hard. Simple algebra problem without any twists. (user deleted) Jul 26, 2009 The problem is wronge.... Take the answer from the computer and pug them into the clues they do not match.... So all you people who think your smart...CHECK YOUR WORK!!!!!!!!!!!!!! (user deleted) Sep 18, 2009 Nice one; I think it is easy to remember the five digit code than those clues. WayneTheDrain Nov 19, 2010 How the hell can he remember all these gay clues but not remember the god damn code!!!