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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
Joined: 02 Sep 2009
Posts: 58396
In a set of three numbers, the average of first two numbers is 2, the  [#permalink]

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Updated on: 24 Jul 2019, 05:02
00:00

Difficulty:

15% (low)

Question Stats:

85% (01:30) correct 15% (01:55) wrong based on 27 sessions

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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

Source: Nova GMAT
Difficulty Level: 600

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Originally posted by Bunuel on 09 Apr 2019, 23:45.
Last edited by SajjadAhmad on 24 Jul 2019, 05:02, edited 1 time in total.
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Joined: 31 Oct 2013
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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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10 Apr 2019, 00:37
2
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.

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

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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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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
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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