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If the average of 5 numbers is 36 and the average of four of those...

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WE: Corporate Finance (Energy and Utilities)
If the average of 5 numbers is 36 and the average of four of those... [#permalink]

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New post 16 Oct 2017, 11:09
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If the average of 5 numbers is 36 and the average of four of those numbers is 34, then what is the value of the fifth number?

(A) 2
(B) 34
(C) 35
(D) 36
(E) 44
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Oct 2017, 11:15, edited 1 time in total.
Added the OA.

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Re: If the average of 5 numbers is 36 and the average of four of those... [#permalink]

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New post 16 Oct 2017, 11:15
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robertops wrote:
If the average of 5 numbers is 36 and the average of four of those numbers is 34, then what is the value of the fifth number?

(A) 2
(B) 34
(C) 35
(D) 36
(E) 44


The average of 5 numbers is 36 --> the sum of 5 numbers is 5*36 = 180;
The average of 4 numbers is 34 --> the sum of 4 numbers is 4*34 = 136.

The difference = the omitted number = 180 - 136 = 44.

Answer: E.
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Kudos [?]: 135163 [1], given: 12664

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Re: If the average of 5 numbers is 36 and the average of four of those... [#permalink]

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New post 16 Oct 2017, 11:19
We know that the average of 5 numbers = 36, so (a + b + c + d + e)/5 = 36 and we also know that the average of 4 of the numbers is 34, so (a + b + c + d)/4 = 34. We can solve for (a + b + c +d) = 136 using the second equation. We can then substitute (a + b + c + d) into the first equation and solve for e. (136+e)/5=36 => 136+e=180 and therefore e=44. Choice E

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Re: If the average of 5 numbers is 36 and the average of four of those...   [#permalink] 16 Oct 2017, 11:19
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