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IMSO 2008 Mathematics Contest in Taiwan – Short Answer Question 6

IMSO Maths · IMSO 2008 Mathematics Contest in Taiwan – Short Answer

Question 6

In the sum shown, each digit 1, 2, 3, 4, 5, 6, 7, 8, 9 occurs just once.

Question illustration

There are many similar sums in which three two-digit numbers are added to give a three-digit number and each digit 1–9 occurs exactly once. Find the largest total (the three-digit number).