Doug had forgotten the 5 digit code to his briefcase. However, he did remember five clues:

- 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; and
- The sum of all five numbers is 30.

What were the five numbers and in what order?

32836 also works

No, your sum equals 22

7 4 6 5 8

5 unknowns, 5 equations

7,4,6,5,8.

Elementary Algebra. Actually, even simpler than that.

74658

7, 4, 6, 5, 8