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2019 SAIMC keystage2-EMIC team Question 1

xIMC · 2019 SAIMC keystage2-EMIC team

Question 1

In the figure below, the balance is in equilibrium and each of the weights is an integer greater than zero grams. If the sum of all weights is the largest possible integer not greater than $2019$ grams, find the largest possible value, in gram, of $X$.

Question illustration