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If the average of a, b, c is 120 and average of a, b, d is 60. Then wh
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25 Jul 2023, 23:41
25 Jul 2023, 23:41
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If the average of a, b, c is 120 and average of a, b, d is 60. Then what is the value of d – c?
A. – 190
B. – 180
C. – 170
D. 170
E. 180
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A. – 190
B. – 180
C. – 170
D. 170
E. 180
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) Free Materials for the GRE General Exam - Where to get it!!
\(\Longrightarrow\) Best GRE Test Books of 2023
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Re: If the average of a, b, c is 120 and average of a, b, d is 60. Then wh
[#permalink]
27 Jul 2023, 11:58
27 Jul 2023, 11:58
1
Expert Reply
To find the value of (d - c), we first need to find the values of a, b, c, and d.
Let's assume a, b, and c are the common elements in both sets (averages of a, b, c, and a, b, d). The average of a, b, c is given as 120, so we can write:
(a + b + c) / 3 = 120
Similarly, the average of a, b, d is given as 60:
(a + b + d) / 3 = 60
Now, we can solve these two equations to find the values of a, b, c, and d.
(a + b + c) = 120 * 3
a + b + c = 360
(a + b + d) = 60 * 3
a + b + d = 180
Now, subtract equation 1 from equation 2:
(a + b + d) - (a + b + c) = 180 - 360
d - c = -180
So, the value of (d - c) is -180.
Therefore, the correct answer is:
B. – 180
Let's assume a, b, and c are the common elements in both sets (averages of a, b, c, and a, b, d). The average of a, b, c is given as 120, so we can write:
(a + b + c) / 3 = 120
Similarly, the average of a, b, d is given as 60:
(a + b + d) / 3 = 60
Now, we can solve these two equations to find the values of a, b, c, and d.
(a + b + c) = 120 * 3
a + b + c = 360
(a + b + d) = 60 * 3
a + b + d = 180
Now, subtract equation 1 from equation 2:
(a + b + d) - (a + b + c) = 180 - 360
d - c = -180
So, the value of (d - c) is -180.
Therefore, the correct answer is:
B. – 180
gmatclubot
Re: If the average of a, b, c is 120 and average of a, b, d is 60. Then wh [#permalink]
27 Jul 2023, 11:58
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