We want to find the average of X, Y, and Z given that all the letters represent consecutive integer numbers.
We will find that the average of X, Y, and Z is 691.
We know that the letters of the alphabet represent consecutive integer numbers.
This means that if A is a number, then:
B = A + 1
C = A + 2
D = A + 3
and so on.
We know that:
E + G + G = 2017
Let's write these letters in terms of A:
E = A + 4
G = A + 6
Then:
E + G + G = A + 4 + A + 6 + A + 6 = 2017
3*A + 16 = 2017
3*A = 2001
A = 2001/3 = 667
Now we want to find the average of X, Y, and Z, it will be given by:
[tex]average = \frac{X + Y + Z}{3}[/tex]
where:
X = A + 23 = 667 + 23 = 690
Y = A + 24 = 667 + 24 = 691
Z = A + 25 = 667 + 25 = 692
The average is then:
[tex]average = \frac{690 + 691 + 692}{3} = 691[/tex]
If you want to learn more, you can read:
https://brainly.com/question/16967035
