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# The average (arithmetic mean) of 20 numbers is 30, and the average (ar

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Math Expert
Joined: 02 Sep 2009
Posts: 59725
The average (arithmetic mean) of 20 numbers is 30, and the average (ar  [#permalink]

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22 Mar 2019, 00:56
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Difficulty:

15% (low)

Question Stats:

81% (00:56) correct 19% (00:54) wrong based on 37 sessions

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The average (arithmetic mean) of 20 numbers is 30, and the average (arithmetic mean) of 30 other numbers is 20. What is the average of all 50 numbers?

(A) 23
(B) 24
(C) 25
(D) 26
(E) 27

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Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The average (arithmetic mean) of 20 numbers is 30, and the average (ar  [#permalink]

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22 Mar 2019, 04:02
Bunuel wrote:
The average (arithmetic mean) of 20 numbers is 30, and the average (arithmetic mean) of 30 other numbers is 20. What is the average of all 50 numbers?

(A) 23
(B) 24
(C) 25
(D) 26
(E) 27

sum of 20 no = 600
and sum of 30 o = 600
so
1200/50 = 24
IMO B
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Status: Founder & CEO
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Re: The average (arithmetic mean) of 20 numbers is 30, and the average (ar  [#permalink]

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24 Mar 2019, 18:35
1
Bunuel wrote:
The average (arithmetic mean) of 20 numbers is 30, and the average (arithmetic mean) of 30 other numbers is 20. What is the average of all 50 numbers?

(A) 23
(B) 24
(C) 25
(D) 26
(E) 27

Average = (20 x 30 + 30 x 20)/50

Average = 1200/50

Average = 24

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Re: The average (arithmetic mean) of 20 numbers is 30, and the average (ar  [#permalink]

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24 Mar 2019, 18:42
30(2/5) +20(3/5)=24
Re: The average (arithmetic mean) of 20 numbers is 30, and the average (ar   [#permalink] 24 Mar 2019, 18:42
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