Question

Tìm X

(x-20):(x-10) = (x+140):(x+70)

Answer 1

\(\left(x-20\right):\left(x-10\right)=\left(x+140\right):\left(x+70\right)\text{ hay }\frac{x-20}{x-10}=\frac{x+140}{x+70}\)

\(\text{Áp dụng tính chất của dãy tỉ số bằng nhau ta có:}\)

\(\frac{x-20}{x-10}=\frac{x+140}{x+70}=\frac{x-20-\left(x+140\right)}{x-10-\left(x+70\right)}=\frac{x-20-x-140}{x-10-x-70}=\frac{-160}{-80}=2\)

\(\text{Suy ra:}\frac{x-20}{x-10}=2\Rightarrow x-20=2.\left(x-10\right)\)

\(x-20=2x-20\)

\(x-2x=-20+20\)

\(-x=0\)

\(x=0\)

Answer 2

x=0