Find the two consecutive odd numbers whose sum is 76.

Answer

To solve the problem of finding two consecutive odd numbers whose sum is 76, we can follow these steps:

### Step 1: Define the first odd number
Let the first odd number be represented as \( x \).

### Step 2: Define the second odd number
Since we are looking for consecutive odd numbers, the next consecutive odd number can be expressed as \( x + 2 \).

### Step 3: Set up the equation
According to the problem, the sum of these two odd numbers is 76. Therefore, we can write the equation:
\[ x + (x + 2) = 76 \]

### Step 4: Simplify the equation
Combine like terms in the equation:
\[ 2x + 2 = 76 \]

### Step 5: Isolate the variable
To isolate \( 2x \), subtract 2 from both sides:
\[ 2x = 76 - 2 \]
\[ 2x = 74 \]

### Step 6: Solve for \( x \)
Now, divide both sides by 2 to find \( x \):
\[ x = \frac{74}{2} \]
\[ x = 37 \]

### Step 7: Find the second odd number
Now that we have the first odd number, we can find the second odd number:
\[ \text{Second odd number} = x + 2 = 37 + 2 = 39 \]

### Conclusion
The two consecutive odd numbers whose sum is 76 are **37 and 39**.

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