Of three numbers, the average of the first and third number is greater than the average of the second and third number by 14. What is the difference between the first and the second number?

Question: Of three numbers, the average of the first and third number is greater than the average of the second and third number by 14. What is the difference between the first and the second number?

Solution:
Let, these numbers are x, y and z respectively.

ATQ,
{(x + z)/2} - {(y + z)/2} = 14
Or, (x + z) - (y + z) = 28
Or, x + z - y - z = 28
Or, x - y = 28

∴ the difference between the first and the second number is = 28.