Question

There are 4 positive numbers whose sum is 60. Their maximum product will be :
Do they have to be different numbers? Do they have to be integers?

I suspect that four 15's give the maximum product: 50625
13,14,16,17 gives a product of 49,504.

If you can find four numbers adding up to 60 with a higher product than 50625, then you are a mathematics master already.

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