Question

The sum of five numbers is $555$. The average of first two numbers is $75$ and the third number is $115$. What is the average of the last two numbers?

• A. $145$
• B. $290$
• C. $265$
• D. $150$

Answer 1

The correct option is A $145$

Let the five numbers be $A,B,C,D,E$
Given, $A+B+C+D+E=555$
$\frac{A+B}{2}=75\Rightarrow A+B=150$ and $C=115$
$\therefore 150+115+D+E=555$
$\Rightarrow D+E=555-265=290$
$\therefore$ Required Average $=\frac{D+E}{2}=\frac{290}{2}=145$