Question

Tìm các số tự nhiên a , b bết :

1/a = 1/6 + b/3

Answer 1

\(\frac{1}{a}=\frac{1}{6}+\frac{b}{3}=\frac{3+6b}{6.3}=\frac{3\left(1+2b\right)}{3.6}=\frac{1+2b}{6}\)

\(\Rightarrow\frac{1}{a}=\frac{1+2b}{6}\Rightarrow a\left(1+2b\right)=6\)