Question

Tìm x,y biết :

\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}\)

Answer 1

Áp dụng tính chất dãy số bằng nhau ta có:

\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}=\frac{2y+8y}{18+6x}=\frac{2.\left(1+4y\right)}{2.\left(9+3x\right)}=\frac{1+4y}{9+3x}\)

\(\Rightarrow\frac{1+4y}{9+3x}=\frac{1+4y}{24}\Rightarrow9+3x=24\)

\(3x=15\)

\(x=15\)