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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?

Answer on Monday.

3 Comments

  • enecabe says:

    3 2 8 11 6

  • admin says:

    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.

  • Sergio says:

    tienes un error en los signos
    The fifth number is 14-10+x
    (2x-1)+x+(10-x)+(x+1)+(14-10+x)=30

    axcde

    e+c=14, e=14-c=14-(10-x), e=4+x
    a+1=2x, a=2x-1
    d-1=x, d=x+1
    x+c=10, c=10-x

    a+b+c+d+e=30

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

    a=7;c=6;d=5;e=8

    S: 74658

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