$$\frac{1}{5}$$ of a number exceeds $$\frac{1}{7}$$ of the same number by 10. The number is -

Solution (By Examveda Team)

Let, the number be 'x'
According to the question
$$\eqalign{ & \frac{1}{5}x - \frac{1}{7}x = 10 \cr & \frac{{7x - 5x}}{{35}} = 10 \cr & 2x = 350 \cr & x = \frac{{350}}{2} \cr & x = 175 \cr} $$