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The average of five number is 16. Is the sum of the two larg

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The average of five number is 16. Is the sum of the two larg [#permalink]

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31 Jul 2013, 06:59
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The average of five number is 16. Is the sum of the two largest numbers in the set greater than 34?

1) the largest number in the set is greater than 20.
2) The median of the set is 16.

[Reveal] Spoiler:
Any better approaches for statement 1
[Reveal] Spoiler: OA

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Re: The average of five number is 16. Is the sum of the two larg [#permalink]

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31 Jul 2013, 07:19
The average of five number is 16. Is the sum of the two largest numbers in the set greater than 34?
Hence the sum of those numbers is 80.

1) the largest number in the set is greater than 20.
Lets assume that it has the value of 20 (the least possible), so the sum of the four remaining numbers will be 60. A+B+C+D=60, D (the greatest number) must be positive and will equal at least 15 (if every number is equal), so $$20+15=35>34$$
If this holds true for the worst case scenario, it will hold true for the others as well.

2) The median of the set is 16.
Consider A=[$$16,16,16,16,16$$], the answer is no; or consider A=[$$1,2,3,4,70$$] and the answer is yes.
Not sufficient
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Re: The average of five number is 16. Is the sum of the two larg [#permalink]

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17 Oct 2017, 04:19
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Re: The average of five number is 16. Is the sum of the two larg   [#permalink] 17 Oct 2017, 04:19
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