Question

If you subtract 1/2 from a number and multiply the result 1/2, you get 1/8. what is the number ??​

Answer 1

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Let the number be x

A/Q

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

$\frac{x}{2} - \frac{1}{4} = \frac{1}{8}$

$\frac{x}{2} = \frac{1}{8 } + \frac{1}{4}$

$\frac{x}{2} = \frac{1 + 2}{8}$

$\frac{x}{2} = \frac{3}{8}$

$x = \frac{3}{8} \times 2$

$x = \frac{6}{8} = \frac{3}{4}$

Therefore the required number us ¾

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Answer 2

Answer:

Let the number be x

According to the question,

$\frac{1}{2} (x - \frac{1}{2} ) = \frac{1}{8} \\ \\ = \frac{1}{2} ( \frac{2x - 1}{2} ) = \frac{1}{8} \\ \\ = \frac{2x - 1}{4} = \frac{1}{8} \\ \\ = \frac{2x - 1}{4} \times 8 = \frac{1}{8} \times 8 \\ \\ = (2x - 1)2 = 1 \\ = 4x - 2 = 1 \\ = 4x = 1 + 2 \\ = 4x = 3 \\ x = \frac{3}{4}$

Hence, the desired number is 3/4

Verification

$= \frac{1}{2} ( \frac{3}{4} - \frac{1}{2} ) \\ \\ = \frac{1}{2} ( \frac{3 - 2}{4} ) \\ \\ = \frac{1}{2} ( \frac{1}{4} ) \\ \\ = \frac{1}{8}$