find two consecutive natural numbers whose sum is 63.

Answer

To find two consecutive natural numbers whose sum is 63, we can follow these steps:

### Step 1: Define the Variables
Let the first natural number be \( x \). Since we are looking for consecutive natural numbers, the second natural number will be \( x + 1 \).

### Step 2: Set Up the Equation
According to the problem, the sum of these two consecutive natural numbers is 63. Therefore, we can write the equation:
\[ x + (x + 1) = 63 \]

### Step 3: Simplify the Equation
Now, simplify the left side of the equation:
\[ x + x + 1 = 63 \]
This simplifies to:
\[ 2x + 1 = 63 \]

### Step 4: Isolate the Variable
Next, we need to isolate \( x \). We can do this by subtracting 1 from both sides of the equation:
\[ 2x + 1 - 1 = 63 - 1 \]
This simplifies to:
\[ 2x = 62 \]

### Step 5: Solve for \( x \)
Now, divide both sides by 2 to solve for \( x \):
\[ x = \frac{62}{2} \]
This gives us:
\[ x = 31 \]

### Step 6: Find the Consecutive Number
Now that we have the first natural number, we can find the second consecutive number:
\[ x + 1 = 31 + 1 = 32 \]

### Step 7: Conclusion
The two consecutive natural numbers whose sum is 63 are:
\[ 31 \text{ and } 32 \]