Akshara thinks of a number. If she takes away 9 from $\frac{7}{2}$ of the number the result is 54. Find the number.

Let the required number be x.

According to the given question:

=> $\frac{7}{2}$x – 9 = 54

=> $\frac{7}{2}$x = 54 + 9

=> $\frac{7}{2}$x = 63

=> 7x = 126

=> x = 18

The required number is 18