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El menor = x.
El mayor = x - 1.
Plateamos la ecuación.
(45 - x) - x = 5
45 - x - x = 5
45 - 2x = 5
- 2x = - 45 + 5
- 2x = - 40
2x = - 40 (-)
2x = 40
x = 40/2
x = 20.
Ahora reemplazamos.
El menor = 20.
El mayor = x - y = 45 - 20 = 25
Los números son : 20 y 25.