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If the average (arithmetic mean) of three positive numbers is 30, how

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If the average (arithmetic mean) of three positive numbers is 30, how [#permalink]

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If the average (arithmetic mean) of three positive numbers is 30, how many of the numbers are greater than 30?

(1) The largest number is 50.
(2) The smallest number is greater than 10.
[Reveal] Spoiler: OA

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Kudos [?]: 139513 [1], given: 12794

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Re: If the average (arithmetic mean) of three positive numbers is 30, how [#permalink]

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Average of three positive terms is 30
Sum of three terms is 30*3 =90

Statement 1 The largest number is 50.
Terms can be 20,20,50 (only one term greater than 30)
or 8,32, 50 (two terms greater than 30) not sufficient

Statement 2 The smallest number is greater than 10.
Terms can be 11, 11, 68 (only one term greater than 30)
or 11, 39,40 (two terms greater than 30) not sufficient

Combined Statement 1 & 2
Terms 50, 11, 29 (only one term greater than 30) Sufficient

Ans C
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Re: If the average (arithmetic mean) of three positive numbers is 30, how   [#permalink] 01 Jan 2018, 22:20
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