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

Toán Lớp 7: tính a/5=b/6=c/7 và a.b.c=1680

Toán Lớp 7: tính a/5=b/6=c/7 và a.b.c=1680

Comments ( 2 )

  1. a/5=b/6=c/7=k
    =>a=5k;b=6k;c=7k
    Mà a.b.c=1680
    5k.6k.7k=1680
    210k^3=1680
    k^3=1680:210
    k^3=8
    k^3=2^3
    =>k=2
    Với k=2;a=10;b=12;c=14
    Vậy (a;b;c)=(10;12;14)

  2. Đặt $\frac{a}{5}=$ $\frac{b}{6}=$ $\frac{c}{7}=k$ 
    ⇒$\left \{ {{a=5k} \atop {b=6k}} \right.$ $c=7k$
    Thay vào ta có :
    $5k.6k.7k=1680$
    $210.$ $k^{3}=1680$
    $k^{3}=1680:210$
    $k^{3}=8$
    $k=2$
    ⇒$\left \{ {{a=5.2=10} \atop {b=6.2=12}} \right.$ $c=7.2=14$

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

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