The average of 8 consecutive odd natural numbers is 24. Which is the smallest number out of these 8 numbers?
Show answer & explanation
Correct answer: C
Explanation
Given:
The average of 8 consecutive odd numbers = 24
According to the formula:
Average of consecutive numbers = (First + Last) / 2
Average of the middle pair = 24 ⇒ Average of the 4th and 5th numbers = 24
The numbers are: x, x+2, x+4, x+6, x+8, x+10, x+12, x+14
Average = (x + x+14) / 2 = 24
(2x + 14) / 2 = 24
2x + 14 = 48
2x = 34
x = 17