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M40-57
[#permalink]
23 Jan 2024, 01:23
23 Jan 2024, 01:23
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Question Stats:
33% (00:25) correct
67%
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based on 3
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If the sum of four consecutive even integers is equal to the sum of eight consecutive integers, what is the difference between the sums of the non-identical elements in the two sets?
A. 0
B. 2
C. 4
D. 6
E. 8
A. 0
B. 2
C. 4
D. 6
E. 8
Re M40-57
[#permalink]
23 Jan 2024, 01:23
23 Jan 2024, 01:23
Expert Reply
Official Solution:
If the sum of four consecutive even integers is equal to the sum of eight consecutive integers, what is the difference between the sums of the non-identical elements in the two sets?
A. 0
B. 2
C. 4
D. 6
E. 8
The question has a simple solution that does not involve any algebra.
If the sums of both sets are equal and we exclude the common elements—the sum of which would be the same—then the sums of the remaining unique elements must also be equal, leading to a difference of 0.
Answer: A
If the sum of four consecutive even integers is equal to the sum of eight consecutive integers, what is the difference between the sums of the non-identical elements in the two sets?
A. 0
B. 2
C. 4
D. 6
E. 8
The question has a simple solution that does not involve any algebra.
If the sums of both sets are equal and we exclude the common elements—the sum of which would be the same—then the sums of the remaining unique elements must also be equal, leading to a difference of 0.
Answer: A
Re M40-57
[#permalink]
27 Mar 2024, 14:16
27 Mar 2024, 14:16
I think this the explanation isn't clear enough, please elaborate.
