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IMSO 2015 — Math Division — Essay Question 9

IMSO Maths · IMSO 2015 — Math Division — Essay

Question 9

In a four-digit number, the thousands digit is larger than the units digit, which is not zero, while the hundreds digit is larger than the tens digit. A new four-digit number is obtained from the original number by reversing the order of the digits. How many possible differences of the original and new number are there?