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The sum of two numbers is 18. The sum of...

The sum of two numbers is 18. The sum of their reciprocals is ¼. Find the numbers.

Text Solution

Verified by Experts

Let one number be x, then other number will be 18−x.
According to the question,
`1/x+1/(18-x)=1/4`
`=> (18-x+x)/(18x-x^2)=1/4`
...
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