There are three positive numbers 1 3 of average of all the three numbers is 8 less than the value of...........

Quantitative Aptitude ( CCS) Average

There are three positive numbers, 1/3 of average of all the three numbers is 8 less than the value of the highest number. Average of the lowest and the second lowest number is 8. Which is the highest number ?

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Explanation:

Let the numbers be: a < b < c
According to the question,
(a + b +c)/(3 × 3) = c – 8
= a + b + c = 9c – 72 ………. (i)
Again, a + b = 16
∴ 16 + c = 9c – 72
= 9c – c = 72 + 16
= 8c = 88
= c = 11

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