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There are three positive numbers. One third of the average of all the three numbers is 8 less than the value of the highest number. If the average of
Question



There are three positive numbers. One third of the average of all the three numbers is 8 less than the value of the highest number. If the average of the lowest and the second lowest number is 8. Then, what is the highest number?

A.

9

B.

10

C.

11

D.

12

Correct option is C

Given:
One third of the average of all the three numbers is 8 less than the value of the highest number. The average of lowest and the second lowest number is 8.
Average


Let the numbers be a, b and c where c > b > a
Then, according to question:

…(1)




Using eq. (1) we get,



88 = 8c
c = 11

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