The average of 10 consecutive natural numbers is (35/2). These numbers are in ascending order. What is the average of the last three numbers?
Show answer & explanation
Correct answer: A
Explanation
Given:
Number of terms = 10
Average = 35/2
According to the formula:
Average = (First term + Last term) / 2
First term + Last term = 35
Let the first term be 'a'
Then, the last term = a + 9
a + (a + 9) = 35
2a + 9 = 35
2a = 26
a = 13
The numbers range from 13 to 22
The last three terms = 20, 21, 22
Average = (20 + 21 + 22) / 3 = 63 / 3 = 21