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Puzzle of the Day

These puzzles are also printed in Eight days a week, a booklet published by the Association of Teachers of Mathematics.The Association of Teachers of Mathematics

Start with two different numbers. Add them and then multiply them together. Does the first answer divide exactly into the second? e.g. 4+12=16 and 4x12=48. 4816=3. Find some more that work. What is special about pairs of numbers like this?

Answer: The second is the first multiplied by one less than the first.

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