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MathNet 2011 Question 92

Math Olympiad Vault · MathNet 2011

Question 92

Set $A$ consists of 7 consecutive positive integers less than $2011$, while set $B$ consists of 11 consecutive positive integers. If the sum of the numbers in $A$ is equal to the sum of the numbers in $B$, what is the maximum possible element that $A$ could contain?