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If $A,B,C,D,E,F,G,H,K$ are distinct single digit natural numbers and if $$A\times BC=DEF, K \times GH=DEF$$ where $BC,DEF$ are two and three-digit number. Find these digits. Is the answer unique?

xrfxlp
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MathDona
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2 Answers2

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Even I have been trying it out and by brute force I get $$6 \times 29=174=3\times 58.$$

I wonder if it is unique!

MathDona
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The solution is not unique as I get one more possibility:

$$4 \times 39=156=2\times 78$$

MathDona
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