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The sum of all the integers

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Carcass
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The sum of all the integers [#permalink] New post   10 Feb 2021, 10:15
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Question Stats:

54% (00:58) correct 45% (01:28) wrong based on 11 sessions

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Quantity A
Quantity B
The sum of all the integers from 99 to 198, inclusive
The sum of all the integers from 101 to 199, inclusive



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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C
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Ks1859
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The sum of all the integers [#permalink] New post   10 Feb 2021, 10:59
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Hi,

Rather than calculating the sum of all the numbers, it would be easy to find the difference and then get to the answer.
A: Qty A has extra numbers 99 & 100, totalling to 199
B: Qty B has an extra number 199

Thus, the two quantities are equal.

IMO C

Hope this helps!
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eldorado21
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Re: The sum of all the integers [#permalink] New post   12 Feb 2021, 20:39
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Useful property to remember:

Avg = (first number + last number)/2
Avg * total = sum of numbers
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Re: The sum of all the integers [#permalink]
12 Feb 2021, 20:39
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