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horrorfan [7]
3 years ago
13

Two integers a and B have a product of 24 what is the least possible sum of a and B

Mathematics
2 answers:
Serhud [2]3 years ago
8 0
The least possible sum is 6 and 4. If your having problems, write down the factors and choose the pair that adds up the smallest number :)
Bingel [31]3 years ago
5 0
6 and 4 you can do factors of 6: 6,12,18,24,
4: 4,8,12 16,20,24 both is 24 so that is the answer 6 and 4
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Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
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From (1), a = 21/(1 + r + r^2)
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