Two-Digit Addition With Some Regrouping - 100 Questions (A) - Free Printable

The image you provided is a worksheet titled "Two-Digit Addition (A)" from Math-Drills.com. The task involves calculating the sum of pairs of two-digit numbers, with some problems requiring regrouping (carrying over). Below, I will explain how to solve these problems step by step using one example, and then provide a general approach for solving all the problems.

---

Example Problem:

Let's solve one problem as an example:
$$
37 + 14
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
```
37
+ 14
```

2. Add the digits in the ones place:
- Ones place: \( 7 + 4 = 11 \)
- Write down the \( 1 \) (ones digit of 11) and carry over the \( 1 \) (tens digit of 11).

3. Add the digits in the tens place, including the carry-over:
- Tens place: \( 3 + 1 + 1 = 5 \)
- Write down the \( 5 \).

4. Combine the results:
- The final answer is \( 51 \).

So, \( 37 + 14 = 51 \).

---

General Approach for Solving All Problems:

1. Align the numbers: Ensure both numbers are aligned by their place values (ones and tens).
2. Add the ones place first: Add the digits in the ones column. If the sum is 10 or more, write down the ones digit of the sum and carry over the tens digit.
3. Add the tens place: Add the digits in the tens column, including any carry-over from the ones place.
4. Combine the results: Write down the final sum.

---

Solving the Entire Worksheet:

Here are the solutions for all the problems on the worksheet. I will list them row by row:

#### Row 1:
$$
\begin{aligned}
37 + 39 &= 76 \\
14 + 24 &= 38 \\
57 + 92 &= 149 \\
36 + 92 &= 128 \\
65 + 16 &= 81 \\
31 + 80 &= 111 \\
51 + 56 &= 107 \\
13 + 82 &= 95 \\
78 + 27 &= 105 \\
79 + 82 &= 161 \\
\end{aligned}
$$

#### Row 2:
$$
\begin{aligned}
56 + 56 &= 112 \\
84 + 48 &= 132 \\
29 + 93 &= 122 \\
82 + 81 &= 163 \\
45 + 24 &= 69 \\
70 + 69 &= 139 \\
76 + 11 &= 87 \\
98 + 72 &= 170 \\
64 + 66 &= 130 \\
37 + 76 &= 113 \\
\end{aligned}
$$

#### Row 3:
$$
\begin{aligned}
13 + 88 &= 101 \\
10 + 98 &= 108 \\
81 + 71 &= 152 \\
73 + 15 &= 88 \\
49 + 92 &= 141 \\
94 + 72 &= 166 \\
39 + 52 &= 91 \\
40 + 99 &= 139 \\
93 + 91 &= 184 \\
\end{aligned}
$$

#### Row 4:
$$
\begin{aligned}
40 + 49 &= 89 \\
28 + 36 &= 64 \\
49 + 56 &= 105 \\
63 + 95 &= 158 \\
14 + 77 &= 91 \\
42 + 11 &= 53 \\
52 + 61 &= 113 \\
49 + 36 &= 85 \\
10 + 64 &= 74 \\
52 + 34 &= 86 \\
\end{aligned}
$$

#### Row 5:
$$
\begin{aligned}
53 + 41 &= 94 \\
53 + 61 &= 114 \\
36 + 73 &= 109 \\
36 + 24 &= 60 \\
71 + 68 &= 139 \\
35 + 96 &= 131 \\
82 + 79 &= 161 \\
25 + 80 &= 105 \\
21 + 89 &= 110 \\
46 + 66 &= 112 \\
\end{aligned}
$$

#### Row 6:
$$
\begin{aligned}
38 + 62 &= 100 \\
35 + 11 &= 46 \\
30 + 22 &= 52 \\
34 + 10 &= 44 \\
91 + 82 &= 173 \\
83 + 73 &= 156 \\
90 + 15 &= 105 \\
40 + 54 &= 94 \\
83 + 41 &= 124 \\
40 + 86 &= 126 \\
\end{aligned}
$$

#### Row 7:
$$
\begin{aligned}
95 + 95 &= 190 \\
91 + 95 &= 186 \\
44 + 40 &= 84 \\
80 + 29 &= 109 \\
47 + 25 &= 72 \\
60 + 93 &= 153 \\
58 + 47 &= 105 \\
62 + 12 &= 74 \\
15 + 32 &= 47 \\
77 + 90 &= 167 \\
\end{aligned}
$$

#### Row 8:
$$
\begin{aligned}
34 + 85 &= 119 \\
85 + 93 &= 178 \\
73 + 83 &= 156 \\
47 + 16 &= 63 \\
28 + 51 &= 79 \\
85 + 97 &= 182 \\
63 + 83 &= 146 \\
88 + 74 &= 162 \\
12 + 80 &= 92 \\
\end{aligned}
$$

#### Row 9:
$$
\begin{aligned}
48 + 71 &= 119 \\
54 + 87 &= 141 \\
34 + 78 &= 112 \\
98 + 63 &= 161 \\
36 + 87 &= 123 \\
80 + 36 &= 116 \\
43 + 52 &= 95 \\
85 + 27 &= 112 \\
39 + 64 &= 103 \\
14 + 23 &= 37 \\
\end{aligned}
$$

#### Row 10:
$$
\begin{aligned}
76 + 67 &= 143 \\
41 + 51 &= 92 \\
28 + 83 &= 111 \\
30 + 90 &= 120 \\
22 + 52 &= 74 \\
45 + 95 &= 140 \\
30 + 20 &= 50 \\
45 + 95 &= 140 \\
79 + 40 &= 119 \\
40 + 42 &= 82 \\
\end{aligned}
$$

---

Final Answer:

$$
\boxed{
\begin{array}{cccccccccc}
76 & 38 & 149 & 128 & 81 & 111 & 107 & 95 & 105 & 161 \\
112 & 132 & 122 & 163 & 69 & 139 & 87 & 170 & 130 & 113 \\
101 & 108 & 152 & 88 & 141 & 166 & 91 & 139 & 184 \\
89 & 64 & 105 & 158 & 91 & 53 & 113 & 85 & 74 & 86 \\
94 & 114 & 109 & 60 & 139 & 131 & 161 & 105 & 110 & 112 \\
100 & 46 & 52 & 44 & 173 & 156 & 105 & 94 & 124 & 126 \\
190 & 186 & 84 & 109 & 72 & 153 & 105 & 74 & 47 & 167 \\
119 & 178 & 156 & 63 & 79 & 182 & 146 & 162 & 92 \\
119 & 141 & 112 & 161 & 123 & 116 & 95 & 112 & 103 & 37 \\
143 & 92 & 111 & 120 & 74 & 140 & 50 & 140 & 119 & 82 \\
\end{array}
}
$$