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Q: Which pair of numbers whose sum is 40 has the largest product?

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10 and 28

Any pair of prime numbers. 5 and 7 11 and 13

Any two odd numbers will have an odd product and an even sum.

If you are looking for two prime numbers whose difference is 1, then the numbers have to be 1 & 3.

10 and 120

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1 and 1

41 & 39 = 1599. (40 x 40 = 1600 but I assume you meant different numbers)

That's a factor pair.

10 and 28

They are: 2 and 140

17 & 18 (306)

They are 2 and 140 because their LCM is 140 and their product is 280

Any pair of prime numbers. 5 and 7 11 and 13

2 and 2

(2356,1)(1178,2)(589,4)(124,19)(76,31)(62,38)

No pair of real numbers can do that.The numbers are4.5 + j 18.43234.5 - j 18.4323

38 + 62 = 100 38 x 62 = 2,356

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