One of the numbers increased by 10. How did the average of the two numbers change?
just tell us the answer
If one of the numbers increased by 10, the average of the two numbers would also change. To understand how the average changes, let's assume we have two numbers, A and B.
The average of two numbers is calculated by summing them and then dividing by 2. So, the original average would be (A + B)/2.
If one of the numbers increased by 10, let's say number A, it would become A + 10. The other number, B, remains unchanged.
Now, let's calculate the new average. The sum of the numbers would be (A + 10) + B = A + B + 10. Dividing this sum by 2 gives us (A + B + 10)/2.
Comparing the original average (A + B)/2 with the new average (A + B + 10)/2, we can see that the new average increases by 10/2 = 5.
So, when one of the numbers is increased by 10, the average of the two numbers increases by 5.
To determine how the average of two numbers changes when one of the numbers is increased by a certain amount, you can follow these steps:
1. Let's assume the two numbers are A and B, with an average of (A + B) / 2.
2. Suppose one of the numbers, say A, is increased by 10 to become A + 10.
3. Now, the average of the two new numbers, (A + 10) and B, can be calculated as ((A + 10) + B) / 2.
4. Simplifying the equation, we have (A + B + 10) / 2.
So, the new average ((A + B + 10) / 2) would increase by (10 / 2) = 5 units compared to the original average (A + B) / 2.