Question

half of a number eceeds one fourth of it by 9 . Find the number .​

Answer 1

Step-by-step explanation:

Let the required number be x,

Hence,

According to the given condition:

$\frac{1}{2} x = \frac{1}{4}x + 9 \\ \therefore \: \frac{1}{2} x - \frac{1}{4}x = 9 \\ \therefore \: \frac{x}{2} - \frac{x}{4} = 9 \\ \therefore \: \frac{2x}{4} - \frac{x}{4} = 9 \\ \therefore \: \frac{2x - x}{4} = 9 \\ \therefore \: \frac{x}{4} = 9 \\ \therefore \: x = 9 \times 4 \\ \huge \fbox {\therefore x = 36}$

Thus, the required number is 36.