The average of 10 numbers is - 5. A new number is added to the list making the average-6. What is

the new number?

9 The product of two numbers is 24 and their sum is - 5. What are the two numbers?

Question 1: The average of 10 numbers is - 5. A new number is added to the list making the average - 6. What is the new number?

To solve this question, first note that the sum of these numbers is - 5*10 = - 50. If the average of 11 numbers is - 6, we must have that they add up to - 6*11=-66. Therefore, the new number is - 66 - (-50) = - 66+50 = - 16.

Question 2: It is hard to explain why, but just know that the answer is No Solution. I think you must have made a typo, like maybe the product is - 24?