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What exponents other than the same two numbers with the numbers one thru ten can be flipped and have the same answer?

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What exponents other than the same two numbers with the numbers one thru ten can be flipped and have the same answer?
posted Apr 15 by Anuradha Tabyal
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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........

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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