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In a set of three numbers, the average of first two numbers is 2, the

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 54376
In a set of three numbers, the average of first two numbers is 2, the  [#permalink]

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New post 09 Apr 2019, 23:45
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (01:41) correct 18% (01:21) wrong based on 11 sessions

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VP
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P
Joined: 31 Oct 2013
Posts: 1322
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: In a set of three numbers, the average of first two numbers is 2, the  [#permalink]

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New post 10 Apr 2019, 00:37
1
Bunuel wrote:
In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

(A) 2
(B) 2.5
(C) 3
(D) 3.5
(E) 4




1st number = x

2 nd number = y

3rd number = z

x + y = 4

y + z = 6

x + z = 8.


Add all of them .

x + y + y + z + x + z = 18

2( x + y + z) = 18

x + y + z = 9

x + y + z /3 = 9/3

x + y + z/ 3 =3

C is the correct answer.
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Re: In a set of three numbers, the average of first two numbers is 2, the  [#permalink]

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New post 10 Apr 2019, 02:10
Bunuel wrote:
In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

(A) 2
(B) 2.5
(C) 3
(D) 3.5
(E) 4


solve <30 sec
given
a+b=4---(1)
b+c=6---(2)
a+c=8--(3)

subtract 1 from 2 ; we get a-c= 2
and add this eqn to 3 eqn we get a = 3 so we can say b=1 & c = 5
so avg = 9/3 ; 3
IMO C
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Re: In a set of three numbers, the average of first two numbers is 2, the   [#permalink] 10 Apr 2019, 02:10
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