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The average (arithmetic mean) of five numbers is 3x + 4. If one of the

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The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 03:49
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 03:54
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The answer is 2x + 6, which is not given in the answer choices
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 03:55
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 04:38
TARGET730 wrote:
The answer is 2x + 6, which is not given in the answer choices

can u please explain how you got 2x+6 as the answer.
im getting (2x+4)
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 05:02
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7x-4 + y (all four numbers) / 5 = 3x+4

7x-4 +y = 15x+20

y = 8x+24

Avg. of 4 numbers = 2x+6.
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 06:11
This is what I did;

5 numbers, average of 5 numbers = 3x+4
5*(3x+4) = 15x + 20
15x + 20 - 7x - 4= 8x + 16

8x + 16 / 4 = 2x + 4.

What did I do wrong?
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 15:52
SavageBrother wrote:
This is what I did;

5 numbers, average of 5 numbers = 3x+4
5*(3x+4) = 15x + 20
15x + 20 - 7x - 4= 8x + 16

8x + 16 / 4 = 2x + 4.

What did I do wrong?


You forgot the minus buddy! 15x + 20 - (7x - 4)= 8x + 24 / 4 is the answer!
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 01 Apr 2015, 23:16
Answer = D. 2x + 6

Let the addition of other 4 numbers = a; we require to find \(\frac{a}{4}\)

\(\frac{a + 7x-4}{5} = 3x+4\)

a = 8x+24

\(\frac{a}{4} = 2x+6\)
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 02 Apr 2015, 02:13
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Bunuel wrote:
The average (arithmetic mean) of five numbers is 3x + 4. If one of the numbers is 7x - 4, what is the average of the other four numbers?

A. 1.6x + 3.2
B. 1.6x + 4.8
C. 2x + 4
D. 2x + 6
E. 4x + 8


Kudos for a correct solution.


Sum(5 nos)/5 = 3x + 4
Sum(7x-4 + 4 nos) = 15x + 20
Sum( 4 nos) = 8x + 24
AM(4 nos) = 2x + 6

Option D
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 02 Apr 2015, 02:13
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Bunuel wrote:
The average (arithmetic mean) of five numbers is 3x + 4. If one of the numbers is 7x - 4, what is the average of the other four numbers?

A. 1.6x + 3.2
B. 1.6x + 4.8
C. 2x + 4
D. 2x + 6
E. 4x + 8


Kudos for a correct solution.


Sum(5 nos)/5 = 3x + 4
Sum(7x-4 + 4 nos) = 15x + 20
Sum( 4 nos) = 8x + 24
AM(4 nos) = 2x + 6

Option D
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 10 Dec 2016, 08:32
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the  [#permalink]

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New post 25 Nov 2019, 20:30

Solution



Given
    • The average (arithmetic mean) of five numbers is 3x + 4
    • one of the numbers is 7x – 4.

To find
    • The average of the other four numbers.

Approach and Working out

    • Average of 5 numbers = 3x +4
      o Sum of numbers / 5 = 3x+4
    • One of the numbers = 7x-4
      o 7x -4 + sum of remaining 4 numbers / 5 = 3x + 4
      o 7x -4 + sum of remaining 4 numbers = 15x + 20
      o Sum of remaining 4 numbers = 8x + 24
    • Average of remaining 4 numbers = 8x +24 /4 = 2x +6
Thus, option D is the correct answer.
Correct Answer: Option D
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Re: The average (arithmetic mean) of five numbers is 3x + 4. If one of the   [#permalink] 25 Nov 2019, 20:30
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