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# If the average of five numbers is -10, and the sum of three of the num

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Senior Manager
Joined: 02 Jan 2017
Posts: 316
If the average of five numbers is -10, and the sum of three of the num [#permalink]

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10 Mar 2017, 08:28
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If the average of five numbers is -10, and the sum of three of the numbers is 16, then what is the average of the other two numbers?

(A) –33

(B) –1

(C) 5

(D) 20

(E) 25
[Reveal] Spoiler: OA
Manager
Joined: 25 Nov 2016
Posts: 57
Location: Switzerland
GPA: 3
Re: If the average of five numbers is -10, and the sum of three of the num [#permalink]

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10 Mar 2017, 08:45
If the average of 5 numbers is -10 then the sum of the five will be 5*(-10) = -50

=> x1+x2+x3+x4+x5 = - 50 and we know that the sum of three number is 16

Then x1+x2+ 16 = - 50 => x1+x2= -66 to find the average we divide by two equal to -33 => Answer A
Retired Moderator
Joined: 12 Aug 2015
Posts: 2341
GRE 1: 323 Q169 V154
Re: If the average of five numbers is -10, and the sum of three of the num [#permalink]

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07 Aug 2017, 17:08
Sum(5) => -10*5 => -50

Sum(3) => 16
Sum(2) => -50-16 => -66

Average => -66/2 => -33

Hence A.
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Re: If the average of five numbers is -10, and the sum of three of the num [#permalink]

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07 Aug 2017, 18:56
If the sum of two number is x,

$$\frac{16 + x}{5} = -10$$(from question stem)
$$16+ x = -50$$
$$x = -50 - 16 = -66$$
Hence, average of 2 numbers is $$\frac{-66}{2} = -33$$(Option A)
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Re: If the average of five numbers is -10, and the sum of three of the num   [#permalink] 07 Aug 2017, 18:56
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