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2A + B = 79 ec. 2
de la ec 2:
B = 79-2A ec. 3
Sustituyendo valores de la ec. 3 en la ec. 1:
A + 79 - 2A = 47
-A = 47-79
-A = -32
A = 32
Las habitaciones con camas dobles son 32
De la ec. 1:
A + B = 47
B = 47-A
B = 47-32
B = 15
Las habitaciones sencillas son 15.
Veamos sis cumple:
32*2 + 15 = 79
64 + 15 = 79 comprobado
Saludos....