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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?

• enecabe says:

3 2 8 11 6

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