If you subtract $$\frac{1}{2}$$from a number and multiply the result by $$\frac{1}{2}$$ , you get $$\frac{1}{8}$$ . What is the number?

Asked by Aaryan | 2 years ago |  170

##### Solution :-

Let the number be x. According to the question,

$$\left(x - \frac{1}{2} \right) \times \frac{1}{2} = \frac{1}8{}$$

On multiplying both sides by 2, we obtain

$$\left(x - \frac{1}{2} \right) \times \frac{1}{2} \times 2= \frac{1}{8}\times 2$$

x - $$\frac{1}{2} = \frac{1}{4}$$

On tranposting $$\frac{1}{2}$$ to R.H.S, we obtain

$$x = \frac{1}{4} + \frac{1}{2}$$

$$\frac{1+2}{4} = \frac{3}{4}$$

Therefore, the number is $$\frac{3}{4}$$.

Answered by Sakshi | 2 years ago

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