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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: Tìm x, y, z biết: `x/2` = `y/3`; `y/4` = `z/5` và x – y – z = 28

Toán Lớp 7: Tìm x, y, z biết:
x/2 = y/3; y/4 = z/5 và x – y – z = 28

Comments ( 2 )

  1. x/2=y/3=>x/8=y/12
    y/4=z/5=>y/12=z/15
    =>x/8=y/12=z/15
    Áp dụng tính chất dãy tỉ số bằng nhau, ta có :
    x/8=y/12=z/15=(x-y-z)/(8-12-15)=-28/19
    x/8=-28/19<=>-224/19
    y/12=-28/19<=>-336/19
    z/15=-28/19<=>-420/19
     

  2. x/2=y/3=>x/2 . 1/4=y/3 . 1/4=>x/8=y/12(1)
    y/4=z/5=>y/4 . 1/3=z/5 . 1/3=>y/12=z/15(2)
    Từ (1);(2)=>x/8=y/12=z/15
    Áp dụng tc dãy ts bằng nhau ta có:
    x/8=y/12=z/15=(x-y-z)/(8-12-15)=28/(-19)
    =>x/8=28/-19=>x=224/-19
           y/12=28/-19=>y=336/-19
           z/15=28/-19=>z=420/-19
    Vậy (x;y;z)=(224/-19;336/-19;420/-19)

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222-9+11+12:2*14+14 = ? ( )