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IMSO 2010 Mathematics - International Exploration Question 5

IMSO Maths · IMSO 2010 Mathematics - International Exploration

Question 5

The digits 1, 3, 4, 5, 6, 7, 8 and 9 are arranged into the following equation

$$2\square\times\square\square\square=\square\square\square\square,$$

such that no digit is repeated more than once.

Find all possible arrangements of the two-digit number, the three-digit number and the four-digit number that satisfy the above equation.