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If the average (arithmetic mean) of x and y is 75 and the average (ari
[#permalink]
14 Sep 2021, 05:30
14 Sep 2021, 05:30
Expert Reply
Show timer
00:00
A
B
C
D
E
Difficulty:
15%
(low)
Question Stats:
88% (00:52) correct
13%
(01:14)
wrong
based on 24
sessions
If the average (arithmetic mean) of x and y is 75 and the average (arithmetic mean) of y and z is 90, what is the value of z − x ?
(A) 7.5
(B) 15.0
(C) 30.0
(D) 52.5
(E) It cannot be determined from the information given.
(A) 7.5
(B) 15.0
(C) 30.0
(D) 52.5
(E) It cannot be determined from the information given.
If the average (arithmetic mean) of x and y is 75 and the average (ari
[#permalink]
14 Sep 2021, 05:58
14 Sep 2021, 05:58
\(\frac{(x + y )}{2} = 75\)
\(x + y = 150\)
\(\frac{(y + z )}{2} = 90\)
\(y + z = 180\)
y + z - x - y = 180-150 = 30
z - x = 30
Hence, OA is (C).
\(x + y = 150\)
\(\frac{(y + z )}{2} = 90\)
\(y + z = 180\)
y + z - x - y = 180-150 = 30
z - x = 30
Hence, OA is (C).
Tutor
Joined: 17 Sep 2014
Posts: 1249
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Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Re: If the average (arithmetic mean) of x and y is 75 and the average (ari
[#permalink]
14 Sep 2021, 06:08
14 Sep 2021, 06:08
Expert Reply
Bunuel wrote:
If the average (arithmetic mean) of x and y is 75 and the average (arithmetic mean) of y and z is 90, what is the value of z − x ?
(A) 7.5
(B) 15.0
(C) 30.0
(D) 52.5
(E) It cannot be determined from the information given.
(A) 7.5
(B) 15.0
(C) 30.0
(D) 52.5
(E) It cannot be determined from the information given.
We know x + y = 150 and y + z = 180. If we subtract the 1st equation from the 2nd equation, we can find z - x = 30.
Ans: C
