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A set of consecutive integers

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A set of consecutive integers

by boysangur » Sun Nov 07, 2010 7:29 pm
In a DS problem, I am told that a set consists of 5 consecutive integers and that the sum of elements is 45. The correct answer states that this is enough information to figure out what the set is. The explanation says "only one set of 5 consecutive integers can sum to 45."

Could anyone explain to me how they came to that conclusion?
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by Rahul@gurome » Sun Nov 07, 2010 7:33 pm
Let 5 consecutive integers be x, x+1, x+2, x+3 and x+4.
Then x + (x+1) + (x+2) + (x+3) + (x+4) = 45
5x = 35 or x = 7
Therefore, the set of 5 consecutive integers is 7, 8, 9, 10, and 11. we can cross check by adding these integers, 7 + 8 + 9 + 10 + 11 = 45.
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