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2015 CIMC keystage3-IWYMIC individual Question 3

xIMC · 2015 CIMC keystage3-IWYMIC individual

Question 3

The largest of $21$ distinct integers is $2015$ and one of the other numbers is $101$. The sum of any $11$ of them is greater than the sum of the other $10$. Find the middle number, that is, the one which is greater than $10$ others and smaller than the remaining $10$.