Natasha Henry

2022-01-22

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

Amari Larsen

Expert

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

sineurosi0f

Expert

The average of the remaining two numbers is 3.
$\frac{a+b+c+d+e}{5}=6$
$⇒5×\frac{a+b+c+d+e}{5}=5×6$
$⇒a+b+c+d+e=30$
$\frac{a+b+c}{3}=8$
$⇒3×\frac{a+b+c}{3}=8×3$
$⇒a+b+c=24$
$d+e=30-24$
$⇒\frac{d+e}{2}=3$

RizerMix

Expert

Five numbers: 3, 3, 7, 8, 9. $3+3+7+8+9=30$ $\frac{30}{5}=6$ $7+8+9=24$ $\frac{24}{3}=8$ $3+3=6$ Answer: $\frac{6}{2}=3$ also 2 and 4 instead of 3 and 3 don’t change the result.