R U Genius in Mathematics?????

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A B C
......D
.......E F G
.............H
..............I

Each of the letter represent different digit 1,2,3,4,5,6,7,8 and 9.

And A+B+C = C+D+E = E+F+G = G+H+I = 13

what is the value of E?
 
One more

A B C
......D
.......E F G
.............H
..............I

Each of the letter represent different digit 1,2,3,4,5,6,7,8 and 9.

And A+B+C = C+D+E = E+F+G = G+H+I = 13

what is the value of E?

E= 4

Prima facie, looks like no solution as no. of variables are greater than no. of equations. However, you can split 13 into likely combinations:
1 3 9
1 4 8
1 5 7
2 3 8
2 4 7
2 5 6
3 4 6

Now, you have to pick 4 combos from above, such that there are only 3 numbers repeated only twice (C, E and G) and all other numbers not being repeated. You can see that those combos are:
1 3 9
1 4 8
2 4 7
2 5 6

Now arrange them in such that C E and G are common in above equation:
9 3 1 = 1 8 4 = 4 7 2 = 2 5 6

Hence, E= 4
From above, clearly, C = 1 and G = 2. However, other alphabets that can be solved are the middle ones in the middle equations, that is D=8 and F=7. A, B, H and I can't be solved uniquely as they have 2 solutions each.
 
A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:
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.
The sum of all five numbers is 30.
What were the five numbers and in what order?

 
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