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# How much greater is the average of the integers from 500 to 700 than

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Math Expert
Joined: 02 Sep 2009
Posts: 58398
How much greater is the average of the integers from 500 to 700 than  [#permalink]

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31 Jan 2019, 00:56
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Difficulty:

15% (low)

Question Stats:

85% (01:09) correct 15% (00:54) wrong based on 25 sessions

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How much greater is the average of the integers from 500 to 700 than the average of the integers from 60 to 90?

A. 425
B. 450
C. 525
D. 575
E. 600

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Re: How much greater is the average of the integers from 500 to 700 than  [#permalink]

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31 Jan 2019, 01:06
Total number of integers from 500 to 700 = 201
Since the numbers are consecutive, the average will be the median, which is 600

Total number of integers from 60 to 90 = 31
Since the numbers are consecutive, the average will be the median, which is 75

Difference = 600-75 = 525.

Bunuel sir, It would be clearer if could include the word Inclusive for the range of integers.
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Re: How much greater is the average of the integers from 500 to 700 than  [#permalink]

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31 Jan 2019, 03:53
Bunuel wrote:
How much greater is the average of the integers from 500 to 700 than the average of the integers from 60 to 90?

A. 425
B. 450
C. 525
D. 575
E. 600

avg of 500 & 700 terms '200 terms so 100th term' = 600
and of 60-90 ' 30 terms so 15th term'= 75 ;
difference = 600-75
525
IMO C
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Re: How much greater is the average of the integers from 500 to 700 than  [#permalink]

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31 Jan 2019, 07:53

Solution

To find:
• How much greater is the average of the integers from 500 to 700 than the average of the integers from 60 to 90

Approach and Working:
• Average of integers from 500 to 700 = the value of the middlemost term = 600
• The average of integers from 60 to 90 = the value of the middlemost term = 75
• Therefore, the difference = 600- 7 5 = 525

Hence, the correct answer is Option C

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Re: How much greater is the average of the integers from 500 to 700 than   [#permalink] 31 Jan 2019, 07:53
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