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MathNet 2023 — batch of 35 questions Question 8

Math Olympiad Vault · MathNet 2023 — batch of 35 questions

Question 8

The number $5.6$ may be expressed uniquely (ignoring order) as a product $\underline{a} \cdot \underline{b} \times \underline{c} . \underline{d}$ for digits $a, b, c, d$ all nonzero. Compute $\underline{a} \cdot \underline{b}+\underline{c} \cdot \underline{d}$.