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The average of eight numbers is 20. The average of five of these numbers is 15. The average of the remaining three numbers is
Question

The average of eight numbers is 20. The average of five of these numbers is 15. The average of the remaining three numbers is

A.

27.33

B.

29.33

C.

30.33

D.

28.33

Correct option is D

Given:

Average of 8 numbers = 20

Average of 5 numbers = 15

Formula Used:

Sum of numbers = Average ×\times​Number of numbers

Solution:

Sum of 8 numbers = 20 ×\times​ 8 = 160

Sum of 5 numbers = 15×\times5 = 75​

Sum of 3 numbers = Sum of 8 numbers - Sum of 5 numbers

Sum of 3 numbers = 160 - 75 = 85

Average of 3 numbers =Sum of 3 numbers 3 \frac{\text{Sum of 3 numbers }}{ 3}​​

Average of 3 numbers = 853 \frac{85}{ 3}​ = 28.33 (approximately)

Option (D) is right.

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