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x - y = 27
x*y = 1300 ⇒ y = 1300/x
reemplazando:
x - 1300 /x = 27 operando
x² - 1300 = 27x acomodando términos
x² - 27x - 1300 = 0
x - 52
x 25
x-52 = 0 v x+25=0
x=52 v x = -25
luego
52 - y = 27
52 - 27 = y
25 = y
los números son 52 y 25