Question

There are 6 numbers in a series. The average of the first five numbers is 30 while the average of last five numbers is 34. What is the difference between the largest and the smallest number?

Answer 1

The average of first five numbers is 30.

So, sum of first five numbers = 30 × 5 = 150

The average of last five numbers is 34.

So, sum of last five numbers = 34 × 5 = 170

As, the sum of 4 numbers between first and last number will be same.

So, the difference between them =
Sum of last five numbers - Sum of first five numbers
= 170 - 150
= 20

Answer) The difference between smallest and largest no. is 20.