Question

the sum of a number and its reciprocal is 25/12.the product of the numerator and denominator?

Answer 1

Step-by-step explanation:

let the numerator be x and denominator be y

$\frac{x}{y} + \frac{y}{x} = \frac{25}{12} \\ \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{25}{12} \\ \frac{12( {x}^{2} + {y}^{2}) }{25} = xy$