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Our product and our sum always give the same answer. Who are we?

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Our product and our sum always give the same answer. Who are we?
posted Dec 9, 2021 by Brijesh Talwar

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Two natural numbers have a sum of less than 100 and are greater than one.

John knows the product of the numbers and Jacob knows the sum of numbers.

The following conversation takes place between them:
John: ‘I am not aware of those numbers.’
Jacob: ‘I knew you wouldn’t be. I am not aware myself.’
John: ‘Now I know them!’
Jacob: ‘Now I know them, too!’

What are the two numbers?

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