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What is the sum of all the integers from 20 to 50, inclusive
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07 Apr 2020, 03:35
07 Apr 2020, 03:35
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78% (00:59) correct
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What is the sum of all the integers from 20 to 50, inclusive?
(A) 990
(B) 1,085
(C) 1,167
(D) 1,197
(E) 1,267
Kudos for the right answer and explanation
(A) 990
(B) 1,085
(C) 1,167
(D) 1,197
(E) 1,267
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: What is the sum of all the integers from 20 to 50, inclusive
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07 Apr 2020, 05:11
07 Apr 2020, 05:11
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Carcass wrote:
What is the sum of all the integers from 20 to 50, inclusive?
(A) 990
(B) 1,085
(C) 1,167
(D) 1,197
(E) 1,267
Kudos for the right answer and explanation
(A) 990
(B) 1,085
(C) 1,167
(D) 1,197
(E) 1,267
Kudos for the right answer and explanation
A nice rule says: the number of integers from x to y inclusive equals y - x + 1
So, the number of integers from 20 to 50 inclusive = 50 - 20 + 1 = 31
Since the values are EQUALLY SPACED, the average value = the average of the least and greatest values.
So, the average = (50 + 20)/2 = 35
So, there are 31 numbers with an average value of 35
The sum = (31)(35)
= 1,085
Answer: B
Cheers,
Brent
Re: What is the sum of all the integers from 20 to 50, inclusive
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03 Apr 2024, 10:27
03 Apr 2024, 10:27
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