Let the number be x
\(\frac{3}{5}\) of x \(=\frac{3}{5}\text{x}\)
\(\frac{2}{7}\) of x \(=\frac{2}{7}\text{x}\)
According to the question,
\(\frac{3}{5}\text{x}-\frac{2}{7}\text{x}=44\)
\(\Rightarrow\) \(\frac{3\text{x}\times7-2\text{x}\times5}{35}=44\)
\(\Rightarrow\) \(\frac{21\text{x}-10\text{x}}{35}=44\)
\(\Rightarrow\) \(\frac{11}{35}\times\text{x}=44\)
\(\Rightarrow\) \(\text{x}=44\div\frac{11}{35}\)
\(\Rightarrow\) \(\text{x}=44\times\frac{35}{11}\)
\(\Rightarrow\) \(\text{x}=\frac{1540}{11}\)
\(\Rightarrow\) \(\text{x}=140\)
The number is 140
