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Digitless factor

Ted thinks of a three-digit number. He removes one of its digits to make a two-digit number.
Ted notices that his three-digit number is exactly 37 times his two-digit number. What was Ted's three-digit number?

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If you enjoyed this puzzle, check out Sunday Afternoon Maths LXIV,
puzzles about numbers, or a random puzzle.
© Matthew Scroggs 2019