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If the average (arithmetic mean) of x and y is 75 and the average (ar
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23 Aug 2021, 05:16
23 Aug 2021, 05:16
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Question Stats:
90% (00:35) correct
9% (00:33) wrong based on 21 sessions
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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.
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) 7.5
(B) 15.0
(C) 30.0
(D) 52.5
(E) It cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Re: If the average (arithmetic mean) of x and y is 75 and the average (ar
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23 Aug 2021, 20:09
23 Aug 2021, 20:09
Mean of \(x\) & \(y\) is \(75\) :: \(x + y = 150\) __________ (1)
Mean of \(z\) & \(y\) is \(90\) :: \(z + y = 180\) __________ (2)
Subtract (1) from (2)
\(z - x = 30\)
Answer C
Mean of \(z\) & \(y\) is \(90\) :: \(z + y = 180\) __________ (2)
Subtract (1) from (2)
\(z - x = 30\)
Answer C
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Re: If the average (arithmetic mean) of x and y is 75 and the average (ar
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24 Aug 2021, 09:08
24 Aug 2021, 09:08
1
Carcass 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.
\(\frac{x + y}{2} = 75\)
\(x + y = 150\) ..... (1)
\(\frac{z + y}{2} = 90\)
\(z + y = 180\) ..... (2)
Subtracting (1) from (2);
\(z - x = 30\)
Hence, option C
