Question

The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is :

Answer 1

Step-by-Step explanation:

let the numbers be x1+x2+x3+x4+x5

average of five numbers=27

x1+x2+x3+x4+x5/5=27

x1+x2+x3+x4+x5=27*5=135

when one number is excluded from it, the average becomes 25

therefore,

the average of four numbers =25

x1+x2+x3+x4/4=25

x1+x2+x3+x4=25*4=100

As we know that the sum of four number is 100

So,

100+x5/5=27

100+x5=27*5=135

x5=135-100=35

So, the excluded number is 35