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x + b = 90
Sabemos que :
a + b = 160
a + x = 180
a = 180 - x
Entonces:
Remplazamos:
a + b = 160
(180 - x) + b = 160
20 = x - b
Ahora Igualamos 2 ecuaciones lineales.
x + b = 90
x - b = 20
---------------
2x = 110
x = 55