Henry Ernest Dudeney/Puzzles and Curious Problems/87 - Reversing the Digits

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Puzzles and Curious Problems by Henry Ernest Dudeney: $87$

Reversing the Digits
What $9$-digit number, when multiplied by $123\, 456 \, 789$, gives a product ending in $987 \, 654 \, 321$?


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Sources