Question

Of the three numbers, the average of first and second numbers is greater than the average of second and third numbers by 15. What is the difference between the first and the third of the three numbers?

• A. 15
• B. 45
• C. 60
• D. None of the above
• E. Cannot be determined

Answer 1

The correct option is E Cannot be determined

Let the numbers be x, y and z
Then, $\frac{x+y}{2}-\frac{y+z}{2}=\frac{x-z}{2}=15\Rightarrow x-z=30$
Therefore the difference is 30