The sum of three consecutive odd integers is 183 . What are the integers? The first integer is \( \square \) The second integer is \( \square \) 7. The third integer is \( \square \)

To solve the problem, we need to find three consecutive odd integers whose sum is 183. Let's denote the first odd integer as \( x \). The next two consecutive odd integers can then be expressed as \( x + 2 \) and \( x + 4 \). ### Step 1: Set up the equation The sum of these three integers can be written as: \[ x + (x + 2) + (x + 4) = 183 \] ### Step 2: Simplify the equation Combining like terms, we have: \[ 3x + 6 = 183 \] ### Step 3: Solve for \( x \) Now, we will isolate \( x \) by first subtracting 6 from both sides: \[ 3x = 183 - 6 \] \[ 3x = 177 \] Next, divide both sides by 3: \[ x = \frac{177}{3} \] \[ x = 59 \] ### Step 4: Find the three integers Now that we have \( x \), we can find the three consecutive odd integers: - The first integer is \( x = 59 \). - The second integer is \( x + 2 = 59 + 2 = 61 \). - The third integer is \( x + 4 = 59 + 4 = 63 \). ### Final Answer The integers are: - The first integer is \( 59 \). - The second integer is \( 61 \). - The third integer is \( 63 \). Thus, we can fill in the blanks: - The first integer is \( 59 \). - The second integer is \( 61 \). - The third integer is \( 63 \).