The sum of 5 consecutive odd numbers is 575. What will be the sum of the next set of 5 consecutive odd numbers?

Sure, let's solve this step by step:

1. First, we need to find the average of the 5 consecutive odd numbers. Since they are consecutive, the average will be the middle number. We can find this by dividing the total sum by the number of terms. So, 575 / 5 = 115. This means that 115 is the third odd number in the sequence.

2. The next set of 5 consecutive odd numbers will start from the next odd number after 115, which is 117.

3. The five numbers will be 117, 119, 121, 123, and 125.

4. To find the sum of these numbers, we simply add them together: 117 + 119 + 121 + 123 + 125 = 605.

So, the sum of the next set of 5 consecutive odd numbers is 605.