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 given numbers is:
Answer & explanation
Correct answer: option 4
Let the no. be x, x + 1, x + 2 …….. x + 7
ATQ,
\(\frac{x+3+x+4}{2}\) = 6
\(\frac{2x+7}{2}\) = 6
x = \(\frac{5}{2}\)
Sum of all no.’s = x + x + 1 + x + 2 ………… + x + 7
= 8x + 28
= 8 × \(\frac{5}{2}\) + 28
= 48