Solve the math puzzles

Let's solve the math puzzles step by step:

1. Puzzle 1: Subtraction

   99 - 63_ = 362

   To find the missing digit, we need to subtract 63 from 99. The result is 36. The last digit of 362 is 2, so we need to find a number that, when subtracted from 9, results in 2. That number is 7. Thus we need to subtract the number `637` from `999` to arrive at `362`.

   Complete equation: 999 - 637 = 362

2. Puzzle 2: Addition

   _62 + 14_ = 409

   The last digit of the answer is 9, so that means that 2 + what equals 9? The answer is 7. Looking at the next column of numbers, we add 6 + 4 getting 10, we write down the 0 and carry the 1, so 1 + 1 + ? = 4; ? = 2. The full equation looks like: 262 + 147 = 409

3. Puzzle 3: Addition

   _68 + 3_ = 96

   To complete the top number, we ask what + 38 = 96. We subtract 38 from 96 to find the missing number. That equals 58, and the equation looks like: 58 + 38 = 96

4. Puzzle 4: Subtraction

   84_ - 4_6 = 238

   844 - 406 = 238. So the number can be written as: 844 - 406 = 238

5. Puzzle 5: Addition

   _52 + 4_8 = 710

   2+8=10, so we write down 0, and carry the 1. Then 1+5+4=10. We need to arrive at 710, so lets assume 652 + 458 = 710.

6. Puzzle 6: Addition

   _69 + 3_5 = 684

   What do we need to add to 9 to end in a 4? It's 5. Now we have 1+6+3=10. We need to arrive at 684, so let us assume 369 + 315 = 684

7. Puzzle 7: Subtraction

   _0__ - 215 = 586

   801 - 215 = 586.

8. Puzzle 8: Subtraction

   _07 - 14_ = 659

   707 - 148 = 659

9. Puzzle 9: Subtraction

   _03 - 27_ = 429

   703 - 274 = 429

10. Puzzle 10: Addition

    53_ + _79 = 710

    531 + 179 = 710