Đáp án:
Vậy $x$ $=$ $54$; $y$ $=$ $81$; $z$ $=$ $135$.
Giải thích các bước giải:
Ta có: x÷y÷z=2÷3÷5
$⇒$ $\dfrac{x}{2}$ $=$ $\dfrac{y}{3}$ $=$ $\dfrac{z}{5}$
Mà: $x.y.z$ $=$ $810$ (đề cho)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
$\dfrac{x}{2}$ $=$ $\dfrac{y}{3}$ $=$ $\dfrac{z}{5}$ $=$ $\dfrac{x.y.z}{2.3.5}$ $=$ $\dfrac{810}{30}$ $=$ $27$
$+)$ $\dfrac{x}{2}$ $=$ $27$ $⇒$ $x$ $=$ $27$ . $2$ $=$ $54$
$+)$ $\dfrac{y}{3}$ $=$ $27$ $⇒$ $y$ $=$ $27$ . $3$ $=$ $81$
$+)$ $\dfrac{z}{5}$ $=$ $27$ $⇒$ $z$ $=$ $27$ . $5$ $=$ $135$
Vậy $x$ $=$ $54$; $y$ $=$ $81$; $z$ $=$ $135$.
