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IMAS 2017–2018 Junior Round 2 Question 7

IMAS · IMAS 2017–2018 Junior Round 2

Question 7

Consider a four-digit number $\overline{abcd}$ where $a$ and $d$ are both non-zero. If the last two digits in the sum of $\overline{abcd}$ and $\overline{dcba}$ are 58, what is the maximum possible value of $\overline{abcd}$?