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The denominator of a fraction is (3) more than its numerator. If the sum of the fraction and its reciprocal is (\frac{29}{10}), what is the numerator?

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Answer and explanation

Correct answer: (2)

The fraction is (\frac{x}{x+3}). From (\frac{x}{x+3}+\frac{x+3}{x}=\frac{29}{10}), (x=2) or (x=15), and among the options (2) is correct.

Related tags

Quadratic EquationsFractionReciprocal

Frequently asked questions

What is the correct answer to this question?

(2)

Why is this the correct answer?

The fraction is (\frac{x}{x+3}). From (\frac{x}{x+3}+\frac{x+3}{x}=\frac{29}{10}), (x=2) or (x=15), and among the options (2) is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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