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There are none but: (15+square root of 129)/2 and (15-square root of 129)/2 will give a sum of 15 and a product of 24

Q: What are the two whole numbers with a sum of 15 and a product of 24?

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A "sum" is a process that involves at least two numbers, and a "product" is also a process that involves at least two numbers. Your question talks about a 'sum' and a 'product', so we expect to find at least four numbers to work with. But there are only two numbers in the whole question. So, to put it gently, we find the question to be somewhat deficient, and lacking an answer.