I am thinking of four positive integers that are different from each other, and that total less than 18. If I told you both their product and the smallest of the four numbers, you'd be able to identify all four numbers. What are the four numbers?

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- Oct 26th 2009, 04:01 PMBKelABMath prob
I am thinking of four positive integers that are different from each other, and that total less than 18. If I told you both their product and the smallest of the four numbers, you'd be able to identify all four numbers. What are the four numbers?

- Oct 26th 2009, 08:13 PMWilmer
First, do you realise that the "smallest of the 4 numbers" is 1 or 2?

(since 3+4+5+6 = 18)

I find here are many possible answers.

Like 1,2,3,4 (product = 24) and 1,2,3,5 (product = 30);

no other combos have these products.

Are you sure problem is posted correctly? - Oct 27th 2009, 01:36 PMBKelAB
I am thinking of four positive integers that are different from each other, and that total less than 18. If I told you both their product and the smallest of the four numbers, you'd be able to identify all four numbers. What are the four numbers?

that what it says - Oct 27th 2009, 02:21 PMWilmer
Well, no unique answer then.