Question

2 numbers have a sum of 50 and a product of 25. Find the sum of the inverses of the 2 numbers.

Answer 1

$x+y=50\\ xy=25\\\\ \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{x+y}{xy}\\ \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{50}{25}\\ \dfrac{1}{x}+\dfrac{1}{y}=2$