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# What is the difference between the number of integers from 50–60, incl

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Math Expert
Joined: 02 Sep 2009
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What is the difference between the number of integers from 50–60, incl  [#permalink]

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23 Jan 2019, 01:02
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Difficulty:

25% (medium)

Question Stats:

83% (01:37) correct 17% (02:02) wrong based on 42 sessions

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What is the difference between the number of integers from 50–60, inclusive, and the sum of the integers from 50–60, inclusive?

A 11
B 44
C 55
D 594
E 605

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Re: What is the difference between the number of integers from 50–60, incl  [#permalink]

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23 Jan 2019, 01:11
Number of integers = 60-50+1 = 11
Sum of integers = 11/2[100+10] = 55*11 = 605
Difference = 605-11 = 594

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Re: What is the difference between the number of integers from 50–60, incl  [#permalink]

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23 Jan 2019, 07:02
Bunuel wrote:
What is the difference between the number of integers from 50–60, inclusive, and the sum of the integers from 50–60, inclusive?

A 11
B 44
C 55
D 594
E 605

n=11
sum
11/2 * ( 2*50 + 10)
605
605-11 . 594
IMO D
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Re: What is the difference between the number of integers from 50–60, incl  [#permalink]

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24 Jan 2019, 06:10
IMO D ie 594

The number of integers 50-60( both inclusive) is 11
The sum of integers 50-60 (both inclusive) is 605
Therefore the difference in the sum of integers and the number of integers is 605-11=594.

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Re: What is the difference between the number of integers from 50–60, incl  [#permalink]

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27 Jan 2019, 18:19
Bunuel wrote:
What is the difference between the number of integers from 50–60, inclusive, and the sum of the integers from 50–60, inclusive?

A 11
B 44
C 55
D 594
E 605

The number of integers from 50 to 60, inclusive, is 60 - 50 + 1 = 11.

To find the sum of these integers, we first find the average of the 11 integers and then multiply the result by 11 (the number of integers in the set).

The average of the integers from 50 to 60, inclusive, is:

(lowest + highest)/2 = (50 + 60)/2 =110/2 = 55
The sum of the integers from 50 to 60, inclusive, is:

average x number = 55 x 11 = 605

So the difference is 605 - 11 = 594.

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Re: What is the difference between the number of integers from 50–60, incl   [#permalink] 27 Jan 2019, 18:19
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