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IMSO 2007 Mathematics - International Essay Question 9

IMSO Maths · IMSO 2007 Mathematics - International Essay

Question 9

Rudy is given three positive whole numbers by his teacher and is told to add the first two and then multiply the result by the third. Instead, he multiplies the first two and adds the third to the result. Surprisingly, he still gets the correct answer which is 14. How many different possible values could the first number be?