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Al sumarlos:
a+b = 34
Al restarlos:
a-b = 8
Despejando a, de ambas ecuaciones
a = 34 - b
a = 8 + b
Igualando las "a":
a = a
34 - b = 8 + b
- b - b = 8 - 34
-2b = -26
b = -26 / -2
b = 13
Sabemos que a = 34 - b
Sustituyendo "b"
a = 34 - 13
a = 21
Respuesta: Los números son 21 y 13.
21 + 13 = 34
21 - 13 = 8