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If the average of 5 consecutive integers is 14, what is the sum of the

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Bunuel
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If the average of 5 consecutive integers is 14, what is the sum of the [#permalink] New post   26 Oct 2020, 07:29
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If the average of 5 consecutive integers is 14, what is the sum of the least and greatest of the 5 integers?

A. 22
B. 24
C. 26
D. 28
E. 30
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IanStewart
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Re: If the average of 5 consecutive integers is 14, what is the sum of the [#permalink] New post   26 Oct 2020, 08:15
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In an equally spaced list (as we have here), the average, the median, and the average of the smallest and largest terms are all equal. So if 14 is the average of our list, it is also the average of the smallest and largest terms, and their sum is thus 2*14 = 28.
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Re: If the average of 5 consecutive integers is 14, what is the sum of the [#permalink] New post   26 Oct 2020, 08:23
a+a+1+a+2+a+3+a+4/5=14
a=12
a+a+4=28
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Re: If the average of 5 consecutive integers is 14, what is the sum of the [#permalink]
26 Oct 2020, 08:23
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