Question
Download Soln PDF10 Consecutive numbers are given. If the average of the two numbers given in the middle is 13.5, then what is the sum of the first 6 numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Soln PDFGiven
10 consecutive numbers.
Average of the middle two numbers = 13.5.
Concept:
We'll use the property that the average of two middle numbers in a series of consecutive numbers is the average of the whole series.
Solution:
The average of the whole series of 10 numbers is also 13.5.
Hence, the first number = 13.5 - 4.5 = 9 (since the average is the middle of the series of 10 numbers).
Sum of first 6 numbers = 6 × average of first and sixth number = 6 × (9+14)/2 = 69.
Therefore, the sum of the first 6 numbers is 69.
Last updated on Jun 26, 2025
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