124,277 views
32 votes
32 votes
If the average of x, y, and 80 is 6 more than the

average of y, z, and 80, what is the value of x-z?
(A) 2
(B) 3
(C) 6
(D) 18
(E) It cannot be determined from the information
given.

User Matthias D
by
3.2k points

2 Answers

18 votes
18 votes
Shorter answer is 18 :) enjoy!!!
User RusAlex
by
3.2k points
9 votes
9 votes

Answer: welcome

Step-by-step explanation:

x

z

=

18

Step-by-step explanation:

We can write the following averages:

x

+

y

+

80

3

and

y

+

z

+

80

3

The first (red) one is greater than the second (blue) one by 6.

Therefore the difference is 6.

x

+

y

+

80

3

y

+

z

+

80

3

=

6

×

3

3

×

(

x

+

y

+

80

)

3

3

×

(

y

+

z

+

80

)

3

=

6

×

3

x

+

y

+

80

(

y

+

z

+

80

)

=

18

x

+

y

+

80

y

z

80

=

18

x

+

y

+

80

y

z

80

=

18

×

×

×

×

×

×

×

x

x

z

=

18

User Ninoorta
by
2.8k points