# The average of 5 numbers is 6. The average of 3 of them is 8. What is the average of the remaining two?

May 10, 2016

$3$
Given that the average of $5$ numbers is $6$, their sum is $5 \times 6 = 30$.
Given that the average of the $3$ selected numbers is $8$, their sum is $3 \times 8 = 24$.
So the remaining two numbers add up to $30 - 24 = 6$ and their average is $\frac{6}{2} = 3$