Question

The average of 20 numbers is ‘p’. The average of first 5 numbers is ‘q’. The average of last 14 numbers is ‘r’. What is the sixth number?​

Answer 1

Answer:

12345678910111213455bhjj

Answer 2

Given:

Average of 20 numbers = p

Average of first 5 numbers = q

Average of last 14 numbers = r

To find:

The sixth number.

Solution:

If the average of the first 5 numbers is q, then the sum of the first 5 numbers will be 5q.

And if the average of the last 14 numbers is r, then the sum of the last 14 numbers will be 14r.

So, if the average of the 20 numbers is p, then the sum of these numbers will be 20p, which can be represented as:

20p = 5q + 6th number + 14r

6th number = 20p - 5q - 14r

Thus, the sixth number will be 20p - 5q - 14r.