OELet's first understand the given information. We know that we have five consecutive odd integers. We can represent these integers as \(x, x+2, x+4, x+6, \) and \( x+8.\)
The problem tells us that the average of these integers is 39. We can use the formula for the average:
average = (sum of terms) / (number of terms)
So we can write:
\(39 = \frac{x + (x+2) + (x+4) + (x+6) + (x+8)}{5}\)
Simplifying this equation, we get:
\(195 = 5x + 20\)
Subtracting 20 from both sides, we get:
\(175 = 5x\)
Dividing both sides by 5, we get:
\(35 = x\)
So the smallest of the five consecutive odd integers is 35. The largest of these integers is x+8, which is:
\(35 + 8 = 43\)
Therefore, the correct answer is A) 43.
Answer: A