Math, asked by afreedmd5144, 1 year ago

The fourth part of a number exceed the sixth part by 4 . The no. Is

Answers

Answered by srikabt
2
द आंसर ऑफ दिस क्वेश्चन 48
Answered by Anonymous
3

Step-by-step explanation:

 \sf \underline{Given} :

  • The fourth part of a number exeeds the sixth part by 4.

 \sf \underline{To  \: Find} :

  • Find the number

 \sf \underline{Solution \: } :

Let the number be 'x'

 \underline{  \boldsymbol{According  \: to  \: the \:  question.}} :

 \sf \leadsto \: \frac{x}{4}  =  \frac{x}{6}  +  \frac{4}{1}   \\

Taking L.C.M. of the denominators and solving it, we get.

 \sf \leadsto \:  \frac{x}{4}  =  \frac{x +  \cancel{24}}{ \cancel{6}  }\\  \\ \sf \leadsto  \: 6x = 4x + 96 \\  \\  \sf \leadsto \: 6x - 4x = 96 \\  \\ \sf \leadsto \:2x = 96 \\  \\ \sf \leadsto \: x=  \cancel{ \frac{96}{2} } \\  \\  \: \sf \leadsto \:x = 48

So, the number is 48

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