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Eight consecutive numbers are given. If the average of the two numbers that appear in the middle is 6, then the sum of the eight numbers is

A) 36
B) 48
C) 54
D) 64

Correct Answer:


B) 48

Description for Correct answer:

Let's eight sequentially number are x, x+1, x+2, x+3, x+4, x+5, x+6 and x+7.

According to the question,

\( \Large \frac{x + 3 + x +4}{2} \) = 6

= \( \Large \frac{2x + 7}{2} \) = 6 = 2x + 7 = 12

= 2x = 5 => x = \( \Large \frac{5}{2} \)

Therefore, Sum of all eight numbers

=x+x+1+x+2+x+3+x+4 +x+5+x+6+x+7=8x+28

=8 X \( \Large \frac{5}{2} \) + 28 = 20 + 28 = 48

Part of solved Average questions and answers : >> Aptitude >> Average

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