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# The average (arithmetic mean) of fifteen consecutive integer

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The average (arithmetic mean) of fifteen consecutive integer [#permalink]  29 Aug 2018, 16:40
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The average (arithmetic mean) of fifteen consecutive integers is 88. What is the greatest of these integers?

[Reveal] Spoiler: OA
95

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Kudos [?]: 589 [0], given: 88

Re: The average (arithmetic mean) of fifteen consecutive integer [#permalink]  30 Aug 2018, 01:08
1st number = x
2nd number = x+1
3rd number = x+2
15th number = x+14

avg = $$\frac{x+14+x}{2} = 88$$
or, $$\frac{2x+14}{2} = 88$$
or, $$x+7 = 88$$
or, $$x = 81$$

since the largest number is $$x+14$$ it is 81 + 14 = 95
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Re: The average (arithmetic mean) of fifteen consecutive integer   [#permalink] 30 Aug 2018, 01:08
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