Question

The average of 10 numbers is −10. If the sum of 6 of them is 100, what is the average of the other 4? 20pts

Answer 1

-50

Explanation:

if the average of the 10 numbers is -10, that means the sum will be -10*10 or -100.

the sum of 6 numbers is 100

Then the sum of the 4 numbers would be (-100-100) or -200

From that we count the average to be -200/4 or -50

Answer 2

The sum of the other 4 numbers is
`-200`

Explanation:

Let

x------> the sum of 6 numbers

y-----> the sum of the other 4 numbers

we know that

`(x+y)/(10)=-10` -----> equation A

`x=100`

substitute the value of x in the equation A

`(100+y)/(10)=-10`

`(100)/(10)+(y)/(10)=-10`

`10+(y)/(10)=-10`

`(y)/(10)=-10-10`

`(y)/(10)=-20`

`y=-20*10=-200`