Solve the number puzzles by filling in the missing values in the addition grids.

Problem Description:

The task involves solving number puzzles where each puzzle is a grid of addition operations. The goal is to fill in the missing numbers in the grids so that all the equations are correct both horizontally and vertically.

Step-by-Step Solution:

#### Puzzle 1:
```
7 + 5 =
+ +
1 + 4 =
= =
17
```

1. Horizontal Equations:
- Top row: \( 7 + 5 = 12 \)
- Bottom row: \( 1 + 4 = 5 \)

2. Vertical Equations:
- Left column: \( 7 + 1 = 8 \)
- Right column: \( 5 + 4 = 9 \)

3. Center Cell:
- The center cell must satisfy both horizontal and vertical equations.
- From the top row, the sum is \( 12 \).
- From the bottom row, the sum is \( 5 \).
- The total sum of all rows is \( 17 \).

Let the center cell be \( x \). Then:
- Top row: \( 7 + x + 5 = 12 \) → \( x = 0 \)
- Bottom row: \( 1 + x + 4 = 5 \) → \( x = 0 \)

Verify:
- Left column: \( 7 + 0 + 1 = 8 \)
- Right column: \( 5 + 0 + 4 = 9 \)

The solution is consistent.

Filled Puzzle:
```
7 + 0 + 5 = 12
+ + +
1 + 0 + 4 = 5
= = =
17
```

#### Puzzle 2:
```
8 + 4 =
+ +
3 + 8 =
= =
17
```

1. Horizontal Equations:
- Top row: \( 8 + 4 = 12 \)
- Bottom row: \( 3 + 8 = 11 \)

2. Vertical Equations:
- Left column: \( 8 + 3 = 11 \)
- Right column: \( 4 + 8 = 12 \)

3. Center Cell:
- The center cell must satisfy both horizontal and vertical equations.
- From the top row, the sum is \( 12 \).
- From the bottom row, the sum is \( 11 \).
- The total sum of all rows is \( 17 \).

Let the center cell be \( x \). Then:
- Top row: \( 8 + x + 4 = 12 \) → \( x = 0 \)
- Bottom row: \( 3 + x + 8 = 11 \) → \( x = 0 \)

Verify:
- Left column: \( 8 + 0 + 3 = 11 \)
- Right column: \( 4 + 0 + 8 = 12 \)

The solution is consistent.

Filled Puzzle:
```
8 + 0 + 4 = 12
+ + +
3 + 0 + 8 = 11
= = =
17
```

#### Puzzle 3:
```
5 + 6 =
+ +
6 + 5 =
= =
22
```

1. Horizontal Equations:
- Top row: \( 5 + 6 = 11 \)
- Bottom row: \( 6 + 5 = 11 \)

2. Vertical Equations:
- Left column: \( 5 + 6 = 11 \)
- Right column: \( 6 + 5 = 11 \)

3. Center Cell:
- The center cell must satisfy both horizontal and vertical equations.
- From the top row, the sum is \( 11 \).
- From the bottom row, the sum is \( 11 \).
- The total sum of all rows is \( 22 \).

Let the center cell be \( x \). Then:
- Top row: \( 5 + x + 6 = 11 \) → \( x = 0 \)
- Bottom row: \( 6 + x + 5 = 11 \) → \( x = 0 \)

Verify:
- Left column: \( 5 + 0 + 6 = 11 \)
- Right column: \( 6 + 0 + 5 = 11 \)

The solution is consistent.

Filled Puzzle:
```
5 + 0 + 6 = 11
+ + +
6 + 0 + 5 = 11
= = =
22
```

#### Puzzle 4:
```
7 + = 11
+ + +
1 + = 10
= = =
11
```

1. Horizontal Equations:
- Top row: \( 7 + x = 11 \) → \( x = 4 \)
- Bottom row: \( 1 + y = 10 \) → \( y = 9 \)

2. Vertical Equations:
- Left column: \( 7 + 1 = 8 \)
- Right column: \( x + y = z \)

3. Center Cell:
- The center cell must satisfy both horizontal and vertical equations.
- From the top row, \( x = 4 \).
- From the bottom row, \( y = 9 \).

Verify:
- Left column: \( 7 + 1 = 8 \)
- Right column: \( 4 + 9 = 13 \)

The solution is consistent.

Filled Puzzle:
```
7 + 4 = 11
+ + +
1 + 9 = 10
= = =
11
```

Final Answer:

```
\boxed{
\begin{array}{ccc}
\text{Puzzle 1:} & \text{Puzzle 2:} & \text{Puzzle 3:} & \text{Puzzle 4:} \\
\begin{array}{c|c|c}
7 & 0 & 5 \\ \hline
1 & 0 & 4 \\ \hline
\end{array} &
\begin{array}{c|c|c}
8 & 0 & 4 \\ \hline
3 & 0 & 8 \\ \hline
\end{array} &
\begin{array}{c|c|c}
5 & 0 & 6 \\ \hline
6 & 0 & 5 \\ \hline
\end{array} &
\begin{array}{c|c|c}
7 & 4 & 11 \\ \hline
1 & 9 & 10 \\ \hline
\end{array}
\end{array}
}
```