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ITMC 2018 Grade 2 National Preliminary set01 Question 27

ITMC · ITMC 2018 Grade 2 National Preliminary set01

Question 27

Answer-format rule printed in the source: round a non-integer answer to the nearest integer. If a calculated answer has more than five digits, write its last five digits.

Let $\overline{TMC}$ be a three-digit positive integer. Different letters stand for different digits. If $\overline{TMC}×T=2560$, find $\overline{TMC}+T$.