Question

The mean of five numbers is $27.$ If one of the numbers is excluded the mean gets reduced by $2.$ The excluded number is

• A. $35$
• B. $27$
• C. $25$
• D. $40$

Answer 1

The correct option is A $35$

Let the sum of four numbers be $y$ and the excluded number be $x.$ Then $\frac{y+x}{5}=27$ and $\frac{y}{4}=25$ or $x+y=135$ and $y=100$ or $x=35.$