Expert Answer to "The average of 5 numbers is 6. The..."

Natasha Henry Answered2022-01-22

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

Answer & Explanation

Amari Larsen Expert2022-01-23Added 10 answers

Explanation: 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

sineurosi0f

Expert

2022-01-24Added 14 answers

The average of the remaining two numbers is 3.

\frac{a + b + c + d + e}{5} = 6

\Rightarrow 5 \times \frac{a + b + c + d + e}{5} = 5 \times 6

\Rightarrow a + b + c + d + e = 30

\frac{a + b + c}{3} = 8

\Rightarrow 3 \times \frac{a + b + c}{3} = 8 \times 3

\Rightarrow a + b + c = 24

d + e = 30 - 24

\Rightarrow \frac{d + e}{2} = 3

RizerMix

Expert

2022-01-27Added 437 answers

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.

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