Explicación paso a paso:
[tex]xy = 1350 \\ \frac{x}{y} = \frac{3}{2} \\ y = \frac{1350}{x} \\ 2x = 3y \\ 2x - 3y = 0 \\ 2x - 3( \frac{1350}{x} ) = 0 \\ 2x - \frac{4050}{x} = 0 \\ 2 {x}^{2} - 4050 = 0 \\ 2 {x}^{2} = 4050 \\ {x}^{2} = \frac{4050}{2} = 2025 \\ \sqrt{ {x}^{2} } = \sqrt{2025} \\ x = \sqrt{2025} = 45 \\ y = \frac{1350}{45} = 30[/tex]
X+y=30+45=75
