Question

if u subtract 1/4 from a number and multiply the result by 1/4 , you got 1/8 . what is the number ​

Answer 1

Given

• If u subtract 1/4 from a number and multiply the result by 1/4 , you got 1/8 .

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To find

• The number.

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Solution

• Let the number be x.

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According to the question

$\large{\tt{\longmapsto{(x - \dfrac{1}{4}) \times \dfrac{1}{4} = \dfrac{1}{8}}}}$

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$\large{\tt{\longmapsto{(\dfrac{4x - 1}{4}) \times \dfrac{1}{4} = \dfrac{1}{8}}}}$

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★ Transporting 1/4 to the R.H.S

$\large{\tt{\longmapsto{\dfrac{4x - 1}{4} = \dfrac{1}{\cancel{8}} \times \cancel{4}}}}$

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$\large{\tt{\longmapsto{\dfrac{4x - 1}{4} = \dfrac{1}{2}}}}$

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$\large{\tt{\longmapsto{2(4x - 1) = 4}}}$

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$\large{\tt{\longmapsto{8x - 2 = 4}}}$

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$\large{\tt{\longmapsto{8x = 4 + 2}}}$

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$\large{\tt{\longmapsto{8x = 6}}}$

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$\large{\tt{\longmapsto{x = \cancel{\dfrac{6}{8}}}}}$

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$\large{\bf{\longmapsto{x = \dfrac{3}{4}}}}$

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Hence,

• The required number is 3/4.

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Answer 2

Given, if we subtract 1/4 from a number and multiply the result by 1/4 , we got 1/8 .

☯we need to find the number.

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Let the number be "x".

According to the given condition,

$:\implies\sf (x - \dfrac{1}{4}) \times \dfrac{1}{4} = \dfrac{1}{8}$

$:\implies\sf (\dfrac{4x - 1}{4}) \times \dfrac{1}{4} = \dfrac{1}{8}$

$:\implies\sf \dfrac{4x - 1}{4} = \dfrac{1}{\cancel{8}} \times \cancel{4}$

$:\implies\sf \dfrac{4x - 1}{4} = \dfrac{1}{2}$

$:\implies\sf 2(4x - 1) = 4$

$:\implies\sf 8x - 2 = 4$

$:\implies\sf 8x = 4 + 2$

$:\implies\sf 8x = 6$

$:\implies\sf x = \cancel{\dfrac{6}{8}}$

$:\implies{\boxed{\frak{\purple{x = \dfrac{3}{4} }}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;the\;required\;number\; is\:\bf{\dfrac{3}{4} }.}}}$

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