Secret Locker Code

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A man forgot the secret code to open his locker. But he remembers the following clues:

  • Fifth number plus the third number equals fourteen.
  • First number is one less than twice the second number.
  • Fourth number is one more than the second number.
  • Second number plus the third number equals ten.
  • Sum of all five numbers is 30.

Can you find out the secret code to help him out?

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  • 1 Answer(s)

    Answer: The code is 74658

    Explanation:
    Let the second number be x
    Therefore the first number is 2x-1
    The third number is 10-x
    The fourth number is x+1
    The fifth number is 14-10-x
    By the problem:

    (2x-1)+x+(10-x)+(x+1)+(14-10-x)=30
    Or, 2x-1+x+10-x+x+1+4+x=30
    Or, 4x+14=30
    Or, 4x=30-14
    Or, x=4

    Therefore the first number is 7, second number is 4, third number is 6, fourth number is 5 and fifth number is 8.

    pnikam Expert Answered on 15th August 2015.
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