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2016 TIMC keystage3-IWYMIC team Question 2

xIMC · 2016 TIMC keystage3-IWYMIC team

Question 2

When the digits of a three-digit number $x$ are written in reverse order, we obtain a number $y$ such that $x+2y=2016$. Determine the sum of all possible values of $x$.

Submission guidance: Give a full solution, as required for this even-numbered problem by the examination cover.