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MathNet 2026 — Part 01 Question 123

Math Olympiad Vault · MathNet 2026 — Part 01

Question 123

Pedrinho wrote two whole and positive numbers on a piece of paper and showed it to Joãozinho. After that, Pedrinho calculated twice the product of these two numbers. Joãozinho added 21 with double the first number and then the result with the second number. To the surprise of the two, the result was the same. What are the possible numbers that Pedrinho wrote on the piece of paper?