September 24, 2009

A man wanted to get into his work building....



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?

8 comments:

  1. The numbers in order are
    7, 4, 6, 5, and 8.

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  2. suppose digits are: A B C D E
    1) E + C =14
    2) B + 1 = D
    3) A = 2 * B - 1
    4) B + C = 10
    5) A + B + C + D + E = 30

    start with 5
    Using 1
    A + B+ D + 14 = 30
    A + B+ D = 16

    Using 3
    2B -1 + B + D = 16
    3*B + D = 17

    using 2)
    3*B + B + 1 = 17
    B=4

    Using 2
    D = 5

    Using 3
    A= 7

    using 4
    C= 6

    using 1
    E = 8


    7 4 6 5 8

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  3. Get all the numbers in terms of B, add them all and solve for B.

    A B C D E F
    A = 2B-1
    B = B
    C = 10 -B
    D = 1 + B
    E = 14 - C ==> Sub C=10-B. C=B+4

    Add them all up, and solve for B. You get B=4.
    Substitute B in all the terms, you get,

    7 4 6 5 8

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  4. u can just start with a bit of guessing and after 2 minutes u have 74658!!

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  5. not that hard

    74658

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  6. Ok, so he can't remember his five-digit code, but he can remember 5 complicated equations about the individual didgits? BWA HA HA HA HA!!!

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  7. 9 6 5 5 5 is the answer, I think

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