Question

1/5th of a number is 20 less than the number find the number

Answer 1

let the no be x
$x \times \frac{1}{5} + 20 = x \ \\ \\ \frac{x}{5} + 20 = x \\ \\ x + 100 \div 5 = x \\ \\ x + 100 = 5x \\ 5x - x = 100 \\ 4x = 100 \\ x = 100 \div 4 \\ x = 4$
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Answer 2

The correct answer will be "25".

Step-by-step explanation:

$Let \ the \ number \ be \ "x"\\According \ to \ the \ question,\\\frac{1}{5}x=x-20\\\frac{1}{5}x+20=x\\On \ taking \ LCM,we \ get\\\frac{x+100}{5}=x\\On \ applying \ cross \ multiplication,we \ get\\x+100=5x\\On \ subtracting \ "x" \ from \ both \ sides,we \ get\\x+100-x=5x-x\\100=4x\\x=\frac{100}{4}\\x=25\\ Hence, the \ number \ will \ be \ "25".$

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