Question 20

How many four digit numbers $$\overline{abcd}$$, with non-zero digits $$π‘Ž, 𝑏, 𝑐, 𝑑$$ in base $$10$$, are there such that $$π‘Ž + 𝑐 = 𝑏𝑑$$ and $$𝑏 + 𝑑 = π‘Žπ‘?$$


Correct Answer: 09

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