üst dalda kaç kuş alt dalda kaç kuş vardır?
2 tane dal var ve bu dallarda kuşlar var.üst daldan alt dala 1 tane kuş indiğinde 2 dalda ki kuş sayıları eşit oluyor ama alt daldan üst dala bir kuş çıktığında üstteki kuşlar alttakilerin iki katı oluyor.üst dalda kaç kuş alt dalda kaç kuş vardır?
göksel eker
göksel eker
Yorumlar
üstten aşağıya 1 kuş inerse a-1=b+1 olur. burdan a-b=2 olur.
alttan üste bir kuş çıktığında üsttekiler altın 2 katı oluomuş. yani 2.(b-1)=a+1 olur. burdan 2b-2=a+1 olur. yani 2b-a=3 tür.
2b-a=3 ve a-b=2 olmak üzere iki denklem vardır. burdan b yani alttakiler 5 a yani üstteki kuşların sayısıda 7 çıkar. toplamda da 12 kuş vardır.
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