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Question

Sum of two numbers is 24, and sum of their reciprocals is 1b. Find the numebrs

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Solution

Let the first number be x
Second number be 24 - x
Now, 1x+1(24x)=16
(24x+x)x(24x)=16
24(24x2)=16
So, x224x+144=0
(x12)2=0
x=12
So, first number be 12
Second number be 24 - 12 = 12

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