Question

If you subtract 1/2 from a number and multiply the result by 1/2,you get 1/8 .What is the number

Answer 1

Answer:

$\underline{\boxed{\dfrac{3}{4}}}$

Step-by-step explanation:

$\underline{\textsf{Given That ...}}$

$\mathsf{If \: we \: subtract\:\dfrac{1}{2} \:from\: a\:number\:and\:multiply\:the\:result\:by\:\dfrac{1}{2}\:we\:will\:get\:\dfrac{1}{8}}$..

$\underline{\mathsf{Therefore\:}}$

$\mathsf{Let\:the\:number\:be\:'x'}$

$\underline{\mathsf{So\: According\:to\: question}}$

$\mathsf{If\:we\:subtract\:\dfrac{1}{2} \:from \: X \:and\:multiply\: the\: result\:with\dfrac{1}{2} \: we \:will \:get\:\dfrac{1}{8}}$

$\underline{\mathsf{That\:Is\: \longrightarrow}}$

$\mathsf{ \dfrac{1}{2} \left(x - \dfrac{1}{2} \right) = \dfrac{1}{8}}$

Multiplying both side by 2

$\mathsf{ \cancel{2}\times\dfrac{1}{\cancel{2}} \left(x - \dfrac{1}{2} \right) = 2 \times \dfrac{1}{8}}$

$\mathsf{ \cancel{2}\times\dfrac{1}{\cancel{2}} \left(x - \dfrac{1}{2} \right) = {\cancel{2}}^{1} \times \dfrac{1}{ {\cancel{8}}^{4} }}$

$\mathsf{x - \dfrac{1}{2} = \dfrac{1}{4}}$

$\mathsf{x = \dfrac{1}{4}+\dfrac{1}{2}}$

$\underline{\mathsf{Therefore...}}$

$\underline{\boxed{\mathsf{X = \dfrac{3}{4}}}}$

Answer 2

$\textbf{sσłυтıση -}$

$\textbf{αccσя∂ıηg \: тσ \: тнє \: qυєsтıση -}$

$\implies \frac{1}{2} \times (number - \frac{1}{2} ) = \frac{1}{8}$

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

$\implies \: x - \frac{1}{2} = \frac{1}{8} \: \times \frac{2}{1}$

$\implies(x - \frac{1}{2} = \frac{1}{4}$

$\textbf{вy \: тяαηsρσsıηg -}$

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

$\implies x = \frac{(2 \times 1) + (4 \times 1)}{4 \times 2}$

$\implies \: x = \frac{2 + 4}{8}$

$\implies \:x = \frac{6}{8}$

$\implies\frac{3}{4}$

$\implies\huge\small\underline\mathtt{Number \:be\:x = \frac{3}{4} }$