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# If the averages of both sets are equal, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 47219
If the averages of both sets are equal, what is the value of x?  [#permalink]

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13 Apr 2018, 03:09
00:00

Difficulty:

5% (low)

Question Stats:

95% (00:50) correct 5% (02:43) wrong based on 37 sessions

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Set A={x,x,8,2}
Set B={1,2,2,15,x,x}
If the averages of both sets are equal, what is the value of x?

A. 1
B. 4
C. 5
D. 6
E. 8

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Manager
Joined: 30 May 2017
Posts: 118
Location: United States
Schools: HBS '21
GMAT 1: 690 Q50 V32
GRE 1: Q168 V164
GPA: 3.57
Re: If the averages of both sets are equal, what is the value of x?  [#permalink]

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13 Apr 2018, 04:17
Bunuel wrote:
Set A={x,x,8,2}
Set B={1,2,2,15,x,x}
If the averages of both sets are equal, what is the value of x?

A. 1
B. 4
C. 5
D. 6
E. 8

(2x+10)/4 = (2x+20)/6

6(2x+10) = 4(2x+20)

12x+60 = 8x+80

4x = 20

x = 5

Hence option C = 5 is the answer.
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Intern
Joined: 10 Jan 2017
Posts: 7
Location: India
Concentration: Social Entrepreneurship, General Management
WE: Information Technology (Computer Software)
Re: If the averages of both sets are equal, what is the value of x?  [#permalink]

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13 Apr 2018, 06:41
[quote="Bunuel"]Set A={x,x,8,2}
Set B={1,2,2,15,x,x}
If the averages of both sets are equal, what is the value of x?

A. 1
B. 4
C. 5
D. 6
E. 8

$$\frac{2x+10}{4}$$= $$\frac{2x+20}{6}$$ ==> x=5
Director
Joined: 02 Oct 2017
Posts: 605
If the averages of both sets are equal, what is the value of x?  [#permalink]

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28 Apr 2018, 18:00
Simply solve

(10+2x)/4=(20+2x)/6

X=5

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If the averages of both sets are equal, what is the value of x? &nbs [#permalink] 28 Apr 2018, 18:00
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