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2014 KIMC keystage3-IWYMIC individual Question 1

xIMC · 2014 KIMC keystage3-IWYMIC individual

Question 1

A two-digit number $x$ is twice another two-digit number $y$. The sum of the digits of $x$ is equal to one of the digits of $y$ and the difference between the digits of $x$ is equal to the other digit of $y$. What is the maximum value of $y$?