Respuesta :

Answer: x=7 y=8

Step-by-step explanation:

Because the mean and the median are the same value, we will see that x = 7 and y = 8.

How to get the value of x and y?

We know that for the set

{4, 6, x, y, 10}

The mean and the median are the same value.

The median is the middle value, which is x, and the mean is:

M = (4 + 6 + x + y + 10)/5

Then we have that:

(4 + 6 + x + y + 10)/5 = x

Now let's solve this:

(4 + 6 + x + y + 10) = 5x

20 + x + y = 5x

20 + y = 4x

And x and y are whole numbers. Then we can take x = 7 to get:

20 + y = 4*7

y = 28 - 20 = 8

Then we have x = 7 and y = 8.

If you want to learn more about means, you can read:

https://brainly.com/question/20118982