the sum of two numbers is 9 and the sum of their reciprocal is 1 by 2 find the number
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Let numbers be x and y
x+y=9
x=9-y
1/x+1/y=1/2
y+x/xy=1/2
2x+2y=xy
18=(9-y) y
18=9y-y2
Solving,
y=6 or 3
X = 3 or 6
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