100 is divided into 2 parts such that the sum of their reciprocals is 1/24
Answers
Answered by
4
Answer:
60 & 40
Step-by-step explanation:
1/x + 1/(100-x) = 1/24
100-x + x = (1/24)(x)((100-x)
2400 = 100x -x^2
x^2 - 100x + 2400 = 0
x^2 -60x -40x + 2400 = 0
(x-60)((x-40) = 0
x = 60 & 40
Answered by
0
Answer:
60 & 40
Step-by-step explanation:
1/x + 1/(100-x) = 1/24
100-x + x = (1/24)(x)((100-x)
2400 = 100x -x^2
x^2 - 100x + 2400 = 0
x^2 -60x -40x + 2400 = 0
(x-60)((x-40) = 0
x = 60 & 40
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