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

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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?

posted Jul 31, 2015

1 Solution

+1 vote

The number is 74658.

Let 5 digits be a,b,c,d,e

Now given relations of digits are
Fifth number plus the third number equals fourteen.= c+e=15 that is e=14-c=14-10+b=4+b
First number is one less than twice the second number.= a=2b-1
Fourth number is one more than the second number.= d=b+1
Second number plus the third number equals ten.=b+c=10 that is c=10-b
Sum of all five numbers is 30.
a+b+c+d+e=30
putting all values,
2b-1+b+10-b+b+1+4+b=30
4b=16
b=4
We can get rest of the numbers using above given equations
SO the number is
74658

solution Jul 31, 2015

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