Results 1 to 7 of 7

Math Help - Tricky Exponent Problem & Number Sqeuence Problem

  1. #1
    Newbie
    Joined
    Mar 2008
    Posts
    4

    Exclamation Tricky Exponent Problem & Number Sqeuence Problem

    I've been at these problems for HOURS!!!



    In the expression below, each letter represents a different digit.

    A^5 + B^5 + C^5 + D^5 + E^5 = ABCDE


    and


    In the array of numbers below, what number should go where the question mark is?
    3 11 21 41 91
    6 14 15 23 53
    3 5 6 8 ?



    I would really appriciate any help I can get, thanks very much! (:
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Chinchilla Babii View Post
    I've been at these problems for HOURS!!!



    In the expression below, each letter represents a different digit.

    A^5 + B^5 + C^5 + D^5 + E^5 = ABCDE
    What have you done so far?

    Note: the remainder when divided by 10 of d^5 is d for d=0, 1, ..9

    so you have:

    A+B+C+D = 0 modulo 10

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123
    Quote Originally Posted by Chinchilla Babii View Post
    I've been at these problems for HOURS!!!
    ...

    In the array of numbers below, what number should go where the question mark is?
    3 11 21 41 91
    6 14 15 23 53
    3 5 6 8 12



    I would really appriciate any help I can get, thanks very much! (:
    <br />
\begin{array}{cccccr} 3 & 11&21&41&91&  \\ <br />
6 & 14 & 15 & 23 & 53 & \\<br />
9 & 25 & 36 & 64 & 144 &\text{sum of the columns}\\<br />
3 & 5 & 6 & 8 & 12 &\text{square-root of the sums}\end{array}
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2008
    Posts
    4
    Quote Originally Posted by CaptainBlack View Post
    What have you done so far?

    Note: the remainder when divided by 10 of d^5 is d for d=0, 1, ..9

    so you have:

    A+B+C+D = 0 modulo 10

    RonL

    I wasn't sure if you could use the number ten because it says DIGIT and ten is a two digit number. I've tried 1,2,3,4,5 and 9,8,7,6,5 and other like that but still can't get the answer.


    And thank you Earboth, that answer really makes sense. (:
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Dec 2007
    Posts
    131
    0 0 0 0 0
    0 0 0 0 1
    0 4 1 5 0
    0 4 1 5 1
    5 4 7 4 8
    9 2 7 2 7
    9 3 0 8 4

    those are all the possible answers (and only the last has all different digits), but i used a simple program to find them. are you looking for a purely analytical solution?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Mar 2008
    Posts
    4
    Quote Originally Posted by xifentoozlerix View Post
    0 0 0 0 0
    0 0 0 0 1
    0 4 1 5 0
    0 4 1 5 1
    5 4 7 4 8
    9 2 7 2 7
    9 3 0 8 4

    those are all the possible answers (and only the last has all different digits), but i used a simple program to find them. are you looking for a purely analytical solution?
    Yes, just a purely analytical solution, thanks.
    Last edited by Chinchilla Babii; March 29th 2008 at 07:15 PM.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Mar 2008
    Posts
    12

    Exclamation

    oops. I was thinking that when it meant abcde , it meant to multiply A times B times C... etc, Thanks so much!
    Last edited by annie3993; March 30th 2008 at 11:42 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: April 27th 2011, 04:53 PM
  2. log/exponent problem
    Posted in the Algebra Forum
    Replies: 9
    Last Post: November 7th 2010, 12:30 AM
  3. exponent problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 19th 2008, 04:35 PM
  4. exponent problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 5th 2008, 06:42 PM
  5. Exponent problem!!
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 6th 2007, 06:08 PM

Search Tags


/mathhelpforum @mathhelpforum