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Evgen [1.6K]
4 years ago
5

Tres aviones salen a la misma hora de un mismo aeropuerto, el primero sale cada 8 dias, el segundo cada 10 dias, y el tercero ca

da 20 dias. Si salen el 2 de enero, ¿cuales seran las fechas proximas en que volveran a salir juntos? ( el año es de 365 dias)
Mathematics
1 answer:
AnnyKZ [126]4 years ago
4 0

Responder:

Después de 40 días (11 de febrero)

Explicación paso a paso:

Dado que :

El avión 1 sale cada 8 días

El avión 2 sale cada 10 días

El avión 3 sale cada 20 días

Si todos se van el 2 de enero; La próxima fecha en que se irán juntos se puede obtener obteniendo el mínimo común múltiplo de los días de cada avión:

___8____10_____20

2 | _4____5______10

2 | _ 2____5______ 5

2 | _ 1 ____5______ 5

5 | _ 1 ____ 1 ______ 1

El mínimo común múltiplo es, por tanto;

2 * 2 * 2 * 5 = 40

Todos se irán juntos nuevamente después de 40 días:

(2 de enero + 40 días) = ​​11 de febrero

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