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IMSO 2010 Mathematics - International Essay Question 13

IMSO Maths · IMSO 2010 Mathematics - International Essay

Question 13

Peter has a three-digit code for a padlock. He has forgotten the code but he knows that all three digits are different. He also knows that if you divide the first digit by the second digit and then square the result, you get the third digit. Find all three-digit codes having this property.