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The average of all consecutive integers from x to y inclusiv

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The average of all consecutive integers from x to y inclusiv [#permalink] New post   30 Sep 2019, 15:32
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The average of all consecutive integers from x to y inclusive is 39. Which of the following could be x and y?

Select all that apply.

A. 31 and 45

B. 21 and 35

C. 25 and 53

D. 29 and 61

E. 33 and 45

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C,E
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Re: The average of all consecutive integers from x to y inclusiv [#permalink] New post   23 Oct 2019, 13:28
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option A and option E are same.
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Re: The average of all consecutive integers from x to y inclusiv [#permalink] New post   23 Oct 2019, 13:30
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For a set of consecutive integers, average = average of 1st and last term
So, we basically need to check if the average of the two values is equal to 39.
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Re: The average of all consecutive integers from x to y inclusiv [#permalink] New post   11 Jul 2020, 01:15
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(x+y)/2 = 39
so x+y=78

Therefore, add the two values like option A has 33 and 45, add both you should get 78 similarly option C and E will give you 78.
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Re: The average of all consecutive integers from x to y inclusiv [#permalink] New post   20 Jul 2022, 18:32
what's the difference between A and E????

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Re: The average of all consecutive integers from x to y inclusiv [#permalink] New post   20 Jul 2022, 22:29
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Thanks. Updated option A.

ademeutia wrote:
what's the difference between A and E????

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Re: The average of all consecutive integers from x to y inclusiv [#permalink]
20 Jul 2022, 22:29
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